Exer. 31 – 44: Solve by using the quadratic formula. 2 x 5 11 + x + 3 x 5 x 3 12 + x – 2 x 5 x 13…

Exer. 31 – 44: Solve by using the quadratic formula. 2 x 5 11 + x + 3 x 5 x 3 12 + x – 2 x 5 x 13…

Exer. 31 – 44: Solve by using the quadratic formula.

2x 5
11 +
x + 3 x
5x 3
12 +
x – 2 x
5x
13 +

– 4 =

+ 2 =

4
=
18
x 2 + 3x
-6

x 2 – 2x
90
31 6x 2 – x = 2
33 x 2 + 4x + 2 = 0
35 2×2 – 3x – 4 = 0

3

37 2 z2 – 4z – 1 = 0
32 5x 2 + 13x = 6
34 x 2 – 6x – 3 = 0
36 3x 2 + 5x + 1 = 0

3

38 5 s2 + 3s + 1 = 0

x – 3
3x
14 +
x + 3
1
=
x 2 – 9
-4
5 10
39 –
w 2 w

+ 2 = 0
x + 1
40
3x + 2
x – 2
=
2x – 3

x – 2
x + 2
x 2 – 4
41 4x 2 + 81 = 36x
42 24x + 9 = -16x 2
Exer. 15 – 16: Determine whether the two equations are
5x
43

44 1 4
equivalent.
x 2 + 9
= -1
7 x 2 + 1 = 7 x

15 (a)
16 (a)
x 2 = 16, x = 4
x 2 = 25, x = 5
(b) x = 29, x = 3
(b) x = 264, x = 8