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

User Beigirad
by
8.9k points

2 Answers

7 votes

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

User Dudi Harush
by
8.6k points
5 votes

Answer:

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

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