Question

If x^2+4x-1=0 then find, x^2+1/x^2​

Answer 1

$\huge \tt \pink{★ANSWER ★}$

$x ^{2} - 4x + 1 = 0 \\ D = b^{2} - 4 ac = 16+4 = 20 </p><p></p><p>[ ^{3 } - \frac{1}{x ^{3} } = (4) ^{3} - 3(4) = 4[16 - 3 ] 20 \\ = 13 \times 4 = x ^{3} - \frac{1}{x ^{ ^{3} } } = 52.$

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