Question

if x^(2)+1/x^(2)=6,find the value of x^(4)+1/x^(4)

Answer 1

ans is 34.............

Answer 2

${x}^{2} + \frac{1}{ {x}^{2} } = 6 \\ {x}^{4} + \frac{1}{ {x}^{4} } = {( {x}^{2} + \frac{1}{x} ) }^{2} - 2 {x \times \frac{1}{x} }^{2} \\ = {6}^{2} - 2 = 36 - 2 = 34$