Algebramedium · Past Paper
If x^2 + 1/x^2 = 2, find x.
A1
B-1
CBoth a and b
D0
✓ Correct Answer: C — Both a and b
x^2 + 1/x^2 = 2 implies x^4 - 2x^2 + 1 = 0 => (x^2 - 1)^2 = 0 => x^2 = 1 => x = ±1.
Share this question
More from Algebra
- What is the vertex of the parabola y = x^2 - 6x + 9?
- If the sum of roots is 7 and product of roots is 10, the equation is:
- What must be added to x^2 + 6x to make it a perfect square?
- If 1/x + 2/y = 4 and 3/x - 1/y = 5, find x.
- A boat travels 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the boat in still water.