if x+1/x =3 find the value of x2+1/x2 and x4+1/x4 - Maths - Algebraic Expressions

Question

if x+1/x =3 find the value of x2+1/x2 and x4+1/x4

Varun.Rawat · Accepted Answer

We have,x + 1x = 2squaring both sides,    x + 1x2 = 22⇒x2 + 1x2 + 2 × x × 1x = 4⇒x2 + 1x2 + 2 = 4⇒x2 + 1x2 = 2squaring both sides   x2 + 1x2 = 22⇒x4 + 1x4 + 2 × x2 × 1x2 = 4⇒x4 + 1x4 + 2 = 4⇒x4 + 1x4 = 2