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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