x + x^-1 =7 maka nilai akar x + 1/akar x = ...
Matematika
rinaldihendrik
Pertanyaan
x + x^-1 =7 maka nilai akar x + 1/akar x = ...
1 Jawaban
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1. Jawaban arsetpopeye
x + x^-1 = 7 => x + 1/x = 7
(√x + 1/√x)^2 = x + 2 . √x . 1/√x + 1/x
(√x + 1/√x)^2 = x + 1/x + 2
(√x + 1/√x)^2 = 7 + 2
(√x + 1/√x)^2 = 9
√x + 1/√x = 3