Question

uotient and the remainder Q4. If x-1/x=6 find the value of x2+1/x2​

Answer 1

assuming you want to ask:

$if \: x - \frac{1}{x} = 6, \: find \: the \: value \: of \: {x}^{2} + \frac{1}{ {x}^{2} }$

Step-by-step explanation:

so,

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

hence, value of x²+(1/x²) = 34