Question 1

What is x?

Question 2

Answer:

x= 5/2

Explanation:

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

2x-5=0

transpose

2x= 5

x= 5/2

Question 3

$\textsf{Hey there!}$

$\huge\text{Question: } \mathsf{√(2x -5)= 0}$

$\bullet\ \large\textsf{First you have to square root both of your sides}$

$\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}$

$\bullet \ \large\textsf{Add by 5 on both of your sides}$

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

$\bullet\large\text{ New equation}$

$\mathsf{2x =5}$

$\bullet \large\text{ Divide both of your sides by 2}$

$\mathsf{(2x)/(2)=(5)/(2)}\\\\\huge\textsf{Cancel out: }}\mathsf{(2x)/(2)\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{(5)/(2)\ because\ it\ helps\ us\ solve\ for\ x}$