Question

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Solving Equations Containing Rational
Exponents
Complete the work shown to find a possible
solution of the equation.
(x - 5)2 + 5 = 2
(x - 5)Z = -3
(x - 5)2 = (-37
A possible solution of the equation is
DONE

Answer 1

One possible solution is 5 + i√3.

(there are 2 solutions 5 + i√3 and 5 - i√3).

Explanation:

(x - 5)^2 + 5 = 2

(x - 5)^2 = -3

Take square roots of both sides:

x - 5 = √-3

x - 5 = i√3

x = 5 ± i√3.

The solutions are both complex numbers.