QUADRATIC EQUATIONS
Algebra
Example 2:
Solve the following quadratic equation using the Quadratic Formula.
2x2 + 4 = 6x + x2
Solution:
Step 1.
Write the equation in general form.
2x2
4
6x
x2
x2
6x
4
0
a
1, b
6, c
4
x
b ±
b2
4ac
2a
x
( 6) ±
( 6)2
4(1)(4)
2(1)
x
6 ±
36
16
2
x
6 ±
20
2
Step 2.
x
3 ±1
2
20
x
3 ±1
2
(4)(5)
x
3 ±
5
x
3
5 , 3
5
x
3
2.236,
3
2.236
x
5.236,
0.746
MA-02
Page 28
Rev. 0
