C-03-Q204mediumsingle_mcqWith same condition, x3+1x3=?x^3 + \dfrac{1}{x^3} = ?x3+x31=?a333b222c111d000ব্যাখ্যাFrom x2+1x2=1x^2+\frac1{x^2}=1x2+x21=1 we get (x+1x)2=x2+1x2+2=3\left(x+\frac1x\right)^2 = x^2+\frac1{x^2}+2 = 3(x+x1)2=x2+x21+2=3, so x+1x=3x+\frac1x=\sqrt3x+x1=3. Then x3+1x3=(x+1x)3−3(x+1x)=33−33=0x^3+\frac1{x^3} = \left(x+\frac1x\right)^3 - 3\left(x+\frac1x\right) = 3\sqrt3 - 3\sqrt3 = 0x3+x31=(x+x1)3−3(x+x1)=33−33=0.