Question

What is the solution of the equation x ^ 2 = 64 ?

Answer 1

The answers are:

x = 8, x = -8

Work/explanation:

To solve this equation, we will square root both sides:

`\sf{x^2=64}`

`\sf{√(x^2) =√(64)}`

`\sf{x=8, x=-8}`

Because, x can be both x and -8. When we take the square root of a number, we get two solutions that are opposites of each other.

Hence, the answers are x = 8, x = -8

Answer 2

x = ± 8

Explanation:

x² = 64 ( take square root of both sides )

`√(x^2)` = ±
`√(64)`

x = ± 8

that is x = - 8 , x = 8

since 8² = 64 and (- 8)² = 64