Quadratic Equations Worksheet Page 2
ADVERTISEMENT
1
2
3
4
5
6
7
8A quadratic equation in which the x term is missing ( or b = 0 ) can be easily solved using the
principle of square roots .
PRINCIPLE OF SQUARE ROOTS
x =
x ±
=
2
c
c
If
, the solutions are
.
−
=
=
±
2
(
x
a
)
c
x
a
c
If
, the solutions are
−
=
−
=
2
2
Sample Problem:
Solve for x
a.
x
2
27
b.
(
x
) 4
18
−
=
2
x
2
27
2
Solution:
a. We first isolate
x , then apply principle.
=
2
x
28
=
±
x
28
=
2 ±
x
7
−
=
2
(
x
) 4
18
−
=
±
b. Apply the square root property.
x
4
18
=
±
x
4
18
=
4 ±
x
3
2
Student Practice: Solve each equation for x.
=
=
2
2
4.
x
81
5.
3
x
12
=
+
=
2
2
6.
x
18
7.
5
x
10
15
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education