Grade 11 - More Exercises.
Solving quadratic equations : answers.
1.
x 2 + 4x + 3 = 0
2.
x 2 + 7x + 10 = 0
(x + 1)(x + 3) = 0
(x + 2)(x + 5) = 0
(x + 1) = 0 OR (x + 3) = 0
(x + 2) = 0 OR (x + 5) = 0
x = -1 OR x = - 3
x = - 2 OR x = - 5
3.
y = 1 OR y = 2
4.
y = 3 OR y = 7
5.
a = - 2 OR a = 1
6.
b = - 2 OR b = 3
7.
p = - 1 OR p = 4
8.
q = - 5 OR q = 3
1
5
9.
x = - 3 OR x = 7
10.
x = - 1 OR x = - ---
11.
q = - 5 OR q = ---
2
3
3
2
1
6
4
5
12.
z = - --- OR z = - ---
13.
z = --- OR z = - ---
14.
a = - --- OR a = ---
2
3
3
5
3
2
4
6
15.
b = - --- OR b = ---
16.
y = 1 OR y = 2
17.
p = - 5 OR p = 1
7
5
5
18.
y = --- OR y = 2
3
B.
Use the formula and give your answers correct to 2 decimals :
19.
x = - 2,30 OR x = 1,30
20.
y = - 1,79 OR y = 2,79
21.
z = - 3,73 OR z = - 0,27
22.
a = 0,44 OR a = 4,56
23.
b = - 7,53 OR b = 0,53
24.
a = 0,50 OR a = 1
25.
b = - 0,79 OR b = 2,12
26.
p = - 1,20 OR p = 1,45
27.
x = - 0,40 OR x = 1
28.
y = 1,29 OR y = 2,71
29.
z = - 2,52 OR z = 1,19
30.
a = -1 OR y = 0,25
C.
Complete the square, solve the equation and give your answers correct to 2 desimals :
32.
x = - 4 OR x = 1
33.
y = -2 OR y = 4
34.
z = - 1 OR z = 0,67
35.
a = - 0,85 OR a = 2,35
36.
b = - 1,2 OR b = 1
37.
p = - 4,54 OR p = 1,54
38.
q = - 0,89 OR q = 3,39
39.
x = - 1 OR x = 2,33