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Complete the square and hence find the roots of the following quadratics:
Q1)
y = x
2
+ 4x
–
12
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q2)
y = x
2
+ 6x + 8
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q3)
y = x
2
–
6x + 5
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q4)
y = x
2
–
8x + 12
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q5)
y = 2x
2
+ 6x
–
8
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q6)
y = x
2
–
12x
–
36
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q7)
y = 4x
2
+ 2x
–
90
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q8)
y = 5x
2
+ 12x
–
30
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q9)
y =
–
6x
2
–
24x + 30
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
Q10)
y = 4x
2
–
18x
–
45
A =
B =
C =
The turning point is at:
x =
y =
The roots are at:
x
1
=
x
2
=
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