Tamara found the solution of x^2=64 to be x=8.

What mistake did Tamara make in finding her solution?

A. She found the incorrect square root of 64.

B. She only found the square root of one side of the equation.

C. She only found the positive square root, not the negative square root

D. She found the cube root of 64 instead of the square root.

Respuesta :

The answer is C because the answer should always be both positive and negative after the square root is taken

Answer:

C. She only found the positive square root, not the negative square root

Step-by-step explanation:

Tamara found the solution of x^2=64 to be x=8.

[tex]x^2= 64[/tex]

To remove square , we take square root from both sides

When we take square root we use + and -

Because square of positive and negative numbers are same

[tex]x^2= 64[/tex]

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x=+-8

x=-8 , x=8

To we got two values for x

She only found the positive square root, not the negative square root