What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers

Answer 1

Answer:

x= −5−11√13/2, −5+11√13/2

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Exact Form:

x= −5−11√13/2, −5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Step-by-step explanation:

x(x+5)=387

Simplify

x(x+5).

x^2+5x=387

Subtract 387 from both sides of the equation.

x^2+5x−387=0

Use the quadratic formula to find the solutions.

−b±√b^2−4(ac)/2a

Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1

Simplify.

x=−5±11√13/2

The final answer is the combination of both solutions.

x=−5−11√13/2, −5+11√13/2

The result can be shown in multiple forms.

Exact Form:

x=−5−11√13/2,−5+11√13/2

Decimal Form:

x=17.33053201…,

−22.33053201…

Hope it is helpful....
Answer 2

Answer:

[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x:                                                               x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides:                  x² + 5x - 387 = 0Part:                                                                                                                 a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]:                                                [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply:                                                                                         [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply:                                                                  [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify:                                                                        [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]

Related Questions

a dealer sells a camera to a man and makes 15% profit. The man sells the camera to another man for 414$ with 10% loss. Find the original cost of the camera.

Answers

Answer:

$386.75

Step-by-step explanation:

First we must find the price of the camera after the man sold it, with the 10% loss.

To do this we find 10% of 414, which is 41.4 . Meaning the camera was originally bought from the dealer for $455.40, as we have to add the 10% back onto the price.

Now we find 15% of 455 and subtract it, with 15% being 68.25, the original cost was $386.75. My guy was seriously ripped off :(.

Orignal price: $386.75

I WILL MARK BRAINIEST PLEASE HELP

Answers

Uuuuuuuuu no se yo no hablo ingles

Answer: do you still need help

Step-by-step explanation:

Please I’m desperate and tell me how you did it

Answers

Given:

Triangle EFG is similar to triangle HIJ.

To find:

The measure of side IJ.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Triangle EFG is similar to triangle HIJ.

[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]

Putting the given values, we get

[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]

[tex]7\times IJ=4\times 32[/tex]

[tex]IJ=\dfrac{128}{7}[/tex]

[tex]IJ=18.2857[/tex]

[tex]IJ\approx =18.3[/tex]

Therefore, the measure of side IJ is 18.3 units.

I need help I have been waiting for 2 hours

Answers

other person alr did #1, and #2 is 0.175

5% of 3 and one half is 0.175 as a decimal

Answer:

$139.24

Step-by-step explanation:

$98+$20=$118

(1.18)($118)=$139.24

the 1.00 in 1.18 is the cost without tax, the 0.18 is the tax, so if you want the cost of the room with tax you would multiply the cost of the room before tax with 1.18

The tax for every room is the same(.18). Tax is taken from the initial cost so you would do 98+20= 118. $118 is the cost of the double room without tax, $139.24 is with tax.

Can someone help me with my this?!

Answers

BC=54
Set 6x = 9x-27
Then solve

Which of the following is a Pythagorean triple?

Answers

D because (5^2)= 25 + (12^2)=144 = 169. (13^2)=169. 25+144=169

Answer:

D (3,4,6)

Step-by-step explanation:

I took thee test

What is the volume of this?

Answers

Answer:

270 m³

Step-by-step explanation:

[tex]A_{triandle}[/tex] = [tex]\frac{5*12}{2}[/tex] = 30 m²

[tex]V_{triangular prism}[/tex] = 30 × 9 = 270 m³

what is the diagonal of a solid square. the sides are 7. please help

Answers

Answer:

9.89949 units

Step-by-step explanation:

the diagonal of a 7 by 7 square is the same as the hypotenuse of a 7 by 7 triangle. using the pythagorean theorem, you can conclude that

7²+7²=c²

49+49=c²

98=c²

√98=c

c≈9.89949 units

Is 2j + 2 equivalent to 2j +1 ?

Answers

uwo2i2ii2ii2i282i22ii339289191.

46o

Its not since one is 2j+2 and another is 2j+1 instead. Unless the question gave you what j is equals to

help asap look at ss

Answers

Answer:

they are 3

Step-by-step explanation:

Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

Answers

Answer: 3

Step-by-step explanation:

48 divided by 16 is 3

The number of pounds expected to use this month is 3 pounds.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

16 oz = 1 lb

Multiply 3 on both sides.

48 oz = 3 lb

Thus,

3 pounds of wood is in 48 oz.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ5

hi please help i’ll give brainly but please show your work.

Answers

Answer:0.028

Step-by-step explanation: 0.07 x 0.4= 0.028

0.028 is the answer! Hope this helps you!

PLEASE HELP OMG

just put this equation into y = mx + b

7x + 8y = -12

* my answer was y = -7/8x - 12/8
(is there supposed to be two fractions? did i do it right?)

Answers

y = mx + b

7x + 8y = -12
Subtract 7x from both sides
8y = -7x - 12
Divide each side by 8
y = -7/8x - 12/8
Simplify
y = -7/8x - 3/2

So besides simplifying, if I’m doing this correctly, it should be correct.

plz help asap!!
which statement is not true about the data shown by the box plot below ?

Answers

Answer:

B

Step-by-step explanation:

the range is about 45

B is correct

Reason: range is the biggest number the line where it stops
And the smallest number which is where the line begins. Smallest is 11 and largest is 81 then you minus 81-11 is 70. 70 is the range so B is correct

help please!!!!!!!!!!!!!!!!!! Examine the diagram.

2 lines intersect a horizontal line to form 3 angles. The angles are 1, 90 degrees, 2.

Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.

Answers

Answer:

a

Step-by-step explanation:

Answer:

the answer is a

                              :)     :)    :)

Step-by-step explanation:

In Will’s garden, 71 out of 200 plants have developed seeds. Which is closest to the percent of his plants that have developed seeds?

A. 20%
B. 35%
C. 70%
D.25%

Answers

maybe D or C umm mmh

Answer the photo below thanks

Answers

Answer: that is a rectangle

Step-by-step explanation:

Answer:

Rectangle , is correct answer of this question

Of the 600 sixth graders at Melville Middle School, 80% want more field trips. How many students want more trips?

Answers

Answer:

480

Step-by-step explanation:

what’s the answer to this ?

Answers

Answer:

the answer to this question is -13x + 13

1/3 + 3/8 =?? wich method can sole the number sentence​

Answers

Answer: 17/24
Eplination: you need a common demonator

Approximately the distance d in miles that a person can see the horizon is represented by the
equation du
where h is the height where the person is. (1mile = 1609.3 m).
4​

Answers

Step-by-step explanation:

bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH

help help 100 pointzzzz plzzzzz helppp

Answers

it is Y ma'am or sir!

~iwa-chan

A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.​

Answers

Answer:

12.5% is loss....

hope it helps.

Answer:

the lost percentage is 14.28%

Step-by-step explanation:

1 - (72÷63) = -0.1428 x 100% = -14.28 %

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

how many cubes with a .25 inch side length will fit in a rectangular prism with a volume of 35.62

Answers

Answer:

142.48

Step-by-step explanation:

this i think is the answer

2x - 5[4 + 3 (x + 2)] = 9​

Answers

Step-by-step explanation:

i hope you will get the answer

x = -59/13

Step-by-step explanation:

2x - 5 ( 4 + 3 ( x + 2 ) ) = 92x - 5 ( 4 + 3x + 6 ) = 92x - 5 ( 3x + 10 ) = 92x - 15x - 50 = 9-13x - 50 = 9-50 - 9 = 13x-59/13 = x

MARK ME AS BRAINLIST

PLEASEEEEEE!!! help with this
PLEASE EXPLAIN HOW TO DO THIS LIKE IN STEPS AND EVERYTHING

Explain, in detail, the steps on how to factor the following trinomial.
3x^2+5x +2

Answers

Answer:

(3x+2)(x+1)

Step-by-step explanation:

Given the quadratic equaton;

3x^2+5x +2

Factorize

(3x^2+3x+)(2x+2)

Factor out the common value from each bracket

3x(x+1) + 2(x+1)

3x+2(x+1)

Hence the factored form is (3x+2)(x+1)

Divide 9 by t. Then, add 3.
Which of the following expressions matches the statement above?
OA. t + 9 + 3
OB. 9 + 3+ t
C. 9 + (t + 3)
OD. 9+t+3

Answers

D.
this expression matches the statement.

Cora is bringing donuts to work as a treat for her co-workers. She buys 12 donuts for $9.96. How much does each donut cost? 30 POINTS FAST NEED HELP

Answers

Divide total cost by number of donuts bought:

9.96 / 12 = 0.83

Each donut cost $0.83

Answer:

0.83

Step-by-step explanation:

number of donuts divided by price

12/9.96=1/X

X=0.83

(c) At an auction, a table was bought for £56.
This was 20% below the table's actual value.
What was the table's actual value?

Answers

£70
if 100%= ?
80%=56

100/80=1.25
1.25 x 56
=70

find the volume of the cube below with a side length of 7.

Answers

Answer:

343 square unit is the answer...

Step-by-step explanation:

as a^3 is formula for finding volume where a is 7

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