If x + 1/x = 5, then what is the value of x² + 1/x² = _____?
If x + 1/x = 5, then what is the value of x² + 1/x² = _____?
Explanation
Given x + 1/x = 5
To find x² + 1/x²:
(x + 1/x)² = x² + 2(x)(1/x) + 1/x²
= x² + 2 + 1/x²
x² + 1/x² = (x + 1/x)² - 2
= 5² - 2
= 25 - 2
= 23