Diketahui x^1/2 + x ^-1/2 = 3 . Tentukan Nilai x+x^-1 .
dengan cara ya :)
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dengan cara ya :)
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maka
(x^1/2 + x^-1/2)² = 3²
(x^1/2 + x^-1/2)(x^1/2 + x^-1/2) = 9
(x^1/2)² + 2. x^1/2 . x^-1/2 + (x^-1/2)² = 9
x + 2. x⁰ + x⁻¹ = 9
x + x⁻¹ = 9-2
x + x⁻¹ = 7
Jadi nilai x + x⁻¹ adalah 7