Question

(x²+1/x²) –4(x+1/x)–6 factories​

Answer 1

Answer:

LET x+1/x =a

SQUARING ON BOTH SIDES

${(x + \frac{1}{x}) }^{2} = {a}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {a}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } = {a}^{2} - 2$

NOW SUBSTITUTING THE VALUES WE GET...

$( {a}^{2} - 2) - 4(a) - 6 = 0 \\ {a}^{2} - 4a - 8 = 0$

I HOPE YOU CAN SOLVE FROM HERE ON....