jika x1/2 + x-1/2 = 2 maka nilai x2 + x-2 adalah
Matematika
ayuuu14
Pertanyaan
jika x1/2 + x-1/2 = 2 maka nilai x2 + x-2 adalah
1 Jawaban
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1. Jawaban yuzar98
@
x^(1/2) + x^(-1/2) = 2
{ x^(1/2) + x^(-1/2) }^2 = 2^2
x + 2. x^(1/2). x^(-1/2) + x^-1 = 4
x + 2. x^0 + x^-1 = 4
x + 2 + x^-1 = 4
x + x^-1 = 4-2
x + x^-1 = 2
(x + x^-1)^2 = 2^2
x^2 + 2 .x. x^-1 + x^-2 = 4
x^2 + 2 x^0 + x^-2 = 4
x^2 + 2 + x^-2 = 4
x^2 + x^-2 = 4-2
x^2 + x^-2 = 2
(^=pangkat)