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The Quadratic Formula |
QUADRATIC EQUATIONS
Algebra
Example 1:
Solve the following quadratic equation using the Quadratic Formula.
4x2 + 2 = x2 - 7x:
Solution:
Step 1.
Write the equation in general form.
4x2
2
x2
7x
3x2
7x
2
0
Step 2.
a
3, b
7, c
2
x
b ±
b2
4ac
2a
x
7 ±
(7)2
4(3)(2)
2(3)
x
7 ±
49
24
6
x
7 ±
25
6
x
7 ± 5
6
x
7
5
6
,
7
5
6
x
2
6
,
12
6
x
1
3
,
2
Thus, the roots are x = -
and x = -2.
1
3
MA-02
Page 26
Rev. 0
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