Solve If x-1x=3,then find the values of x2+1x2 and x4+1x4 {Please don't provide any web links or certified solution - Maths - Algebraic Expressions and Identities

Question

Solve
If   x - 1 x = 3 , then   find   the   values
  of   x 2 + 1 x 2   and   x 4 + 1 x 4
{Please don't provide any web links or certified solution Provide
only Experts answer}

Ankita Agarwal · Accepted Answer

Dear Student,

Given: x-1x=3Squaring both sides, we getx-1x2=9Using a-b2=a2+b2-2abx2+1x2-2=9x2+1x2=11Squaring both sides, we getx2+1x22=49Using a+b2=a2+b2+2abx4+1x4+2=49x4+1x4=47

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Solve If x - 1 x = 3 , then find the values of x 2 + 1 x 2 and x 4 + 1 x 4 {Please don't provide any web links or certified solution ... Provide only Experts answer}

Solve
$If x - \frac{1}{x} = 3, then find the values of x^{2} + \frac{1}{x^{2}} and x^{4} + \frac{1}{x^{4}}$
{Please don't provide any web links or certified solution ... Provide only Experts answer}