Question

hey can you please help me posted picture of question

Answer 1

We can solve the equation by moving 64 to the right hand side of the equation and then taking the square root of both sides to find the solution of the equation as shown below:

$x^{2} -64=0 \\ \\ x^{2} =64 \\ \\ \sqrt{ x^{2} } = +-\sqrt{64} \\ \\ x=+-8$

So, the correct options are C and D

Answer 2

Answer:
The solutions are 8 and -8

Explanation:
Before we begin, remember the rule of the difference between squares which is as follows:
x² - a² = (x+a)(x-a)

Now, for the given, we have:
x² - 64 = 0
This is equivalent to:
x² - (8)² = 0

Applying the rule of the difference between squares mentioned above, we would factorize the equation as follows:
(x-8)(x+8) = 0
This means that:
either x-8 = 0 ...........> x = 8
or x+8 = 0 ...........> x = -8

Based on the above, the solutions would be: 8 and -8

Hope this helps :)