Algebrahard · Past Paper
If α, β are roots of x^2 + px + q = 0, find α/β + β/α.
A(p^2 - 2q)/q
Bp^2/q - 2
C(p^2 + 2q)/q
DBoth a and b
✓ Correct Answer: D — Both a and b
α/β + β/α = (α^2 + β^2)/αβ = (p^2 - 2q)/q = p^2/q - 2.
Share this question
More from Algebra
- The expression m^2 - 1 is equal to:
- Solve for y: 4/(y-1) = 2.
- If the roots of (a^2+b^2)x^2 - 2b(a+c)x + (b^2+c^2) = 0 are equal, then a, b, c are in:
- The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the father's age.
- Factorize: x^2 - (y-z)^2