Algebrahard · Past Paper
If roots of x^2 - px + q = 0 are consecutive integers, then p^2 - 4q is:
A1
B2
C0
D4
✓ Correct Answer: A — 1
Let roots be n, n+1. Difference is 1. (α-β)^2 = 1 => p^2 - 4q = 1.
Share this question
More from Algebra
- Find the sum of the roots of the equation 2x^2 - 8x + 5 = 0.
- Find the value of k if the remainder is 5 when x^2 + kx + 7 is divided by x - 1.
- If one root is square of other for x^2 + px + q = 0, then p^3 - q(3p-1) + q^2 = 0. Is it true?
- A quadratic equation whose roots are -1 and -2 is:
- Three times a number is 10 more than the number. Find the number.