# Mathematics - Algebra - Quadratic Equations

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Solving an equation with an exponent using the even-root property

Solve....(see attachment for equation)

Simplify your answer as much as possible.

https://brainmass.com/math/basic-algebra/mathematics-algebra-solving-quadratic-equations-203017

## SOLUTION This solution is **FREE** courtesy of BrainMass!

(x - 5)^2 - 63 = 0

Taking square roots on both sides of the equation, we have

x - 5 = sqrt 63

x - 5 = +_ sqrt 63

x - 5 = +_ sqrt(9 * 7)

x - 5 = +_ 3 sqrt 7

x = 5 +_ 3 sqrt 7

There are two real solutions given by: x = {5 - 3 sqrt 7, 5 + 3 sqrt 7}.

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