Given that x^2 - 3x + 1 = 0. Find the value of k if x^12 - 7kx^6 + 1 = 0.
k=?
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— x² — 3x +1 =0 (given) On dividing LHS & RHS of the above equation by x We get, x — 3 +1/x =0 ... (1) So, the value of x²+x + 1/x+1/x² = (x + 1/x)+(x² + 1/x²) = (x+ 1/x) + {( x +1/x )²—2} [since ... Answered 2 years ago · Author has 9.3K answers and 5.1M answer views. If x2 - 3x + 1 = 0, then find the value of x9 + x7 + x-7 +x-9?
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