If x + 1/x = 5 Find the Value of x2 + 1/x2
If x + 1/x = 5, find the value of x² + 1/x². Step-by-step algebraic identity solution for CBSE Class 9 and 10 Maths exam preparation.
If x + 1/x = 5, find the value of x² + 1/x². Step-by-step algebraic identity solution for CBSE Class 9 and 10 Maths exam preparation.
Answer:
It is given that : x + 1 /x = 5
Now, we need to find: x2 + 1 / x2.
( x + 1 / x )2 = 25
= x2 + 1 / x2 + 2 (x)(1/x) = 25
= x2 + 1/x2 + 2 = 25
= x2 + 1 / x2 = 25 – 2
= x2 + 1 / x2=23
Hence, x2 + 1/x2 = 23