Section 2-5 : Quadratic Equations - Part I
For problems 1 – 15 solve the quadratic equation by factoring.
1. z 2 − 11z + 24 =
0
2. w2 + 13w + 12 =
0
3. x 2 + 32 =
12 x
2
4. y=
6 y + 27
5. u 2 − 4u − 20 = 3u + 24
6. z 2 − 36 =
0
7. 144 x 2 − 25 =
0
8. 7 x 2 + 19 x =
6
9. 4 y 2 + 15 y + 6 =
4y
10. 6 z 2 − 11z + 15 = 12 z − 5
11. 20v 2 + 3v = 5v 2 + 5v + 1
12. x 2 − 4 x + 16 =
4x
13. 9 y 2 + 17 y + 20 =4 − 7 y
14. 7u 2 + 9u =
0
15. 14 x = 3 x 2
For problems 16 – 18 use factoring to solve the equation.
16. 3v 3 − 19v 2 − 14v =
0
17. y 6 + y 5 =
20 y 4
18. z 4 + 2 z 3 + z 2 =
0
For problems 19 – 22 use factoring to solve the equation.
19. 1 +
2
12 − x
=
2
x−2 x + x−6
4 ( t − 5) 4
+
t 2 + 2t t
t +1
t+2
20.
=
w2 − 1 5 − 5 w
21. =
−w
w+6
w+6
y − 2 y 2 − 19 y + 34 y − 3
+
=
22.
y − 9 y 2 − 10 y + 9
y −1
For problems 23 – 31 use the Square Root Property to solve the equation.
23. v 2 − 144 =
0
24. 81x 2 − 25 =
0
25. 4t 2 + 1 =
0
26. 7 y 2 − 3 =
0
27. 14 + 2 x 2 =
0
28. ( 3t − 8 ) − 16 =
0
2
29. ( u + 11) + 6 =
0
2
30. 4 ( 2 x − 1) − 36 =
0
2
31. ( 4 − z ) − 121 =
0
2