Chapter 1 Quadratic Equations In One Unknown Worksheet With Answers Page 3
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Quadratic Equations in One Unknown
+ y − 3 = 0
= 35y + 12
2
2
11. 4y
12. 3y
Solution
Solution
+ y − 3 = 0
= 35 y + 12
2
2
4 y
3 y
− 35 y − 12 = 0
2
(4 y − 3)( y + 1) = 0
3 y
(3 y + 1)( y − 12) = 0
4 y − 3 = 0
or y + 1 = 0
3 y + 1 = 0
or y − 12 = 0
3
y =
y = −1
or
4
1
y = −
y = 12
or
3
Form a quadratic equation in x with the given roots. (13 – 15)
13. 4, 5
Solution
x = (
x = (
Q
) or
)
4
5
x − (
) = 0
or x − (
) = 0
4
5
∴
) = 0
x − 4
x − 5
(
)(
) = 0
− 9 x + 20
2
(
x
∴
− 9 x + 20 = 0
2
The required equation is (
).
x
14. 9, −1
Solution
x = 9 or
x = −1
Q
x − 9 = 0 or x + 1 = 0
∴
( x − 9)( x + 1) = 0
− 8 x − 9 = 0
2
x
∴
− 8 x − 9 = 0.
2
The required equation is x
3
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