Question

Match the equations with the correct solution(s).(5 points)
x2=64

x2=−16

x3=−64

x2=25

x3=125

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Answer 1

x^2 = 64 → x = 8 or x = −8

x^2 = −16 → no real solutions; complex: x = 4i or x = −4i

x^3 = −64 → real solution x = −4 (complex cube roots: 2 ± 2i√3)

x^2 = 25 → x = 5 or x = −5

x^3 = 125 → real solution x = 5 (complex cube roots: −5/2 ± (5√3/2)i)