Math 2
Twiggs County High School
Solving Quadratic Equations
Name: ___________________________________ Period: __________
Solve the following: ( Watch-out! ….only Square terms……. NO x is present ‘ALONE”….)
1. x2 = 16
2.
4. x2 = 32
5. x2 - 50 = 0
6. 3x2 – 27 = 0
7. (x-3)2 = 100
8. . (x+5)2 = 64
9. 2(x-7)2 – 98 = 0
11. 2(x-9)2 - 50 = 0
12. (2x+5)2 – 49 = 0
10. -3(x + 4)2 +300 = 0
x2 = 25
3. x2 – 49=0
Solve the following by factorizing: ( You can start seeing square term and x term …STANDARD form? )
13. x2 – 7x +10 = 0
16. x2 - x - 12 = 0
14. 3x2 + 8x +4 = 0
17. 5x2 – 25x = 0
15. 2x2 – 21x -11 = 0
18.
x2 - 7x = 0
Find the value of the discriminant of each quadratic equation.
19. 6x2 – 2x – 3 = 0
23. x2 + 5x + 2 = 0
20. –2x2 – x – 1 = 0
24. 9x2 + 4x = 0
21. –4x2 – 4x + 5 = 0
25. 2x2 + 5x – 4 = 0
22. 5x2 + x – 2 = 0
Find the discriminant of each quadratic equation then state the number of real and imaginary solutions.
26. 9x2 – 3x + 2 = 0
29. –9x2 + 8x – 8 = 0
27. –2x2 – 8x – 8 = 0
30. –x2 – 6x – 9 = 0
28. 9x2 + 6x + 1 = 0
31. –4x2 – 4x – 6 = 0
Solve by using Quadratic Formula:
32. x2 – 7x +10 = 0
33. 2x2 – 21x -11 = 0
34. 3x2 + 8x +4 = 0
35. 4x2 – 3x - 9 = 0