Answer :
The solutions to the equation x² = 169 are x = -13 and x = 13.
What are the solutions to the given equation?
Given the equation in the question:
To determine the solutions to the equation x² = 169, take the square roots of both sides to eliminate the exponent on x:
x² = 169
√( x² ) = ±√(169)
x = ±√(169)
Rewrite 169 as 13²:
x = ±√(13²)
Pull terms out from under the radical:
x = ±13
The solution will be both positive and negative values.
x = -13 and x = 13.
Therefore, the values of x are -13 and 13.
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