Question

if( x+1/x ) =7 find the value x²+1/x²​

Answer 1

Answer:

Given: x + 1/x = 7 Squaring on both sides ⇒ (x + 1/x )2 =(7)2 ⇒ x2 + ( 1/x)2 + 2(x)(1/x) = 49 [∵ (a+b)2= a2+b2 + 2ab] ⇒ x2 + 1/(x2) + 2 = 49 ⇒ x2 + 1/(x2) = 49 - 2 ∴ x2 + 1/(x2) = 47

Answer = 47

Answer 2

Step-by-step explanation:

x+1/x (Squaring both sides)

=x²+1²/x²

=x²+1/x²