Name________________________
Date ________
HW: The Quadratic Formula
I. REVIEW
1. Solve
a. 3( x  2)2  9
b. 3( x  2) 2   9
c. 3( x  2)2  0
2. Explain the difference in equations in #1. How did this affect your solutions?
II. PRACTICE – Compute the discriminant and describe the solutions.
3. 3x2 + 2x – 1 = 0
4.
5x2 - 4x + 1 = 3x + 4
a=
b=
c=
(b)2 – 4(a)(c) =
nature of solutions: _______________
5.
-2x2 + x + 4 = 0
nature of solutions: _______________
nature of solutions: _______________
6.
-3x2 – 2 = x2 + 3x
nature of solutions: _______________
Part III. MORE PRACTICE - Solve using the quadratic formula.
7. x2 + 4x – 2 = 0
8. 2x2 - 5x – 2 = 0
9. 2x2 - 9x + 9 = 0
10.
-x2 + 1 = -5x2 + 4x
11. 10x2 + x = 2
12. -6x2 + 3x + 2 = 3
13. 4x2 – 3 = 0
14. 3x2 + 2x = 0
IV. REACH FOR THE STARS! Write the quadratic equation that has the following
solutions (roots):
15. a. x = 2i and x = -2i
b. Where does the quadratic cross the x-axis?