Question

if ( x-1/x)=15 then find the value of (x^2+1/x^2)​

Answer 1

$(x - 1 \x) {}^{2} = {15}^{2} \\ {x }^{2} - 1 \x {}^{2} - 2x \times 1 \x = 225 \\ {x}^{2} - 1x \x ^{2} = 225 + 2 \\ {x}^{2} - 1 \x ^{2} = 227$