NAME__________________________________________DATE__________________
ALGEBRA2
MRS. BINASO
HOMEWORK
Determine all values of k for which the given equation has the indicated type of roots.
1. x2 + 4x + k = 0, two real roots
2. kx2 + 2x + 3 = 0, two imaginary roots
3. x2 − kx + 8 = 0, one real root
4. x2 + 2x + k = 0, two real roots
Write a quadratic equation whose roots have the following sums and products.
5. sum = -7 product = 5
6. sum = ¾ product = 1
Write a quadratic equation that has the following roots.
7. 1,-6
8. 6, 2/3
9. -6 + √7, -6 − √7
10. 3 + 4i, 3 − 4i
In each case, one root r1, of a quadratic equation is given. Find the other root and the missing
coefficient.
11. x2 − 5x + c = 0; r1 = 2
12. 2x2 + bx + 8 = 0; r1 = 2
13. 3x2 − 12x + c = 0; r1 = 2 − √5