Question #9586 Solve (x2+9)1/2=5(x^{2} + 9)^{1} / 2 = 5(x2+9)1/2=5.
Solution. The equation is equivalent to x2+9=25x^{2} + 9 = 25x2+9=25 or x2=16x^{2} = 16x2=16, thus either x=−4x = -4x=−4 or x=4x = 4x=4.
Answer x∈{−4,4}x \in \{-4, 4\}x∈{−4,4}.
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