Question

Solve x2 – 64 = 0. Isolate x2: x2 = 64 Apply the square root property of equality: Isolate the variable: x = x =

Answer 1

Solve the equation by isolating the variable you're solving for on one side of the equation and get everything on the opposite side.

$x^2 - 64 = 0$

The x variable is being square and is being subtracted by 64.
Find the inverse of all of these operations.

First, get rid of the subtraction operation. The inverse of subtraction is addition.

Add 64 to both sides of the equation.

$x^2 - 64 + 64 = 0 + 64 \\ x^2 = 64$

Now the variable x is only being squared. Reverse this operation by using the inverse of exponents.

Take the square root of both sides.

$\sqrt{x^2} = \sqrt{64} \\ x = 8$

So, x is equal to 8.

Answer 2

The value of the isolated variable x is 8.

What is Square Root Property?

Square root property states that "if we have an equation with a perfect square on one side and a number on the other side, then one can take the square root of both sides".

Given the data in the question;

x² - 64 = 0

From the instruction, we isolate x²

Hence

x² = 64

Next, we apply the square root property of equality

√x² = √64

x = √64

x = 8

Therefore, the value of the isolated variable x is 8.

Learn more about the square root property here: https://brainly.com/question/12078688