Home › If x + 1/x = 3, find x² + 1/x².
If x + 1/x = 3, find x² + 1/x².
Answer & Solution
Correct answer: D.
1. Square both sides: (x + 1/x)² = x² + 2 + 1/x² = 9.
2. x² + 1/x² = 9 − 2 = 7.
_Source: TSICET 2024 PYQ Q.91 (Shift 1, Algebra)_
Related questions
If a = 2 and b = −3, value of a² − b²:If 0 < a < b and a^2 + b^2 = 50, ab = 7, what is b − a?Solve: |2x − 5| = 3.Expand (x + y)³.If a + b = 7 and ab = 12, find a² + b².If x² + y² = 25 and xy = 12, then (x + y)² =If $z=x+iy$, what is the modulus $|z|$?
![](https://qallery.app/diagrams/v2_337fce5574f0/The principal argument of a complex number is defined to lie in which interval?
![](https