[tex] \sqrt{2x - 5 } = 0[/tex]
What is x? ​

Answer:

x= 5/2

Step-by-step explanation:

the only way a root could be 0 is when the radical is 0.

2x-5=0

transpose

2x= 5

x= 5/2

[tex]\textsf{Hey there!}[/tex]

[tex]\huge\text{Question: } \mathsf{\sqrt{2x -5}= 0}[/tex]

[tex]\bullet\ \large\textsf{First you have to square root both of your sides}[/tex]

[tex]\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}[/tex]

[tex]\bullet \ \large\textsf{Add by 5 on both of your sides}[/tex]

[tex]\huge\text{Like: }\bf{\mathsf{2x - 5+5 = 0 + 5}}\\\textsf{Cancel out: }\mathsf{-5 + 5\ because\ that\ gives\ you\ 0}\\\textsf{Keep: }\mathsf{0+5\ because\ that\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{\rightarrow\underline{0+5= 5}}[/tex]

[tex]\bullet\large\text{ New equation}[/tex]

[tex]\mathsf{2x =5}[/tex]

[tex]\bullet \large\text{ Divide both of your sides by 2}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{5}{2}}\\\\\huge\textsf{Cancel out: }}\mathsf{\dfrac{2x}{2}\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{\dfrac{5}{2}\ because\ it\ helps\ us\ solve\ for\ x}[/tex]

[tex]\large\textsf{{{\underline{Answer}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Thus, your answer is: \boxed{\boxed{\mathsf{\bf{x = \dfrac{5}{2}}}}}}}}\huge\checkmark[/tex]

[tex]\mathsf{Note: Plug\ \dfrac{5}{2}\ into\ your\ equation\ (for \ x)\ and\ make\ sure \ that\ that\ it\ works }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Please help ASAP! Thankss

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