Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 4
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419-5 Solving Quadratic Equations by Using the Quadratic Formula
The solutions are –0.5 and –2.1.
Solve each equation. State which method you used.
2
7. 2x
+ 11x − 6 = 0
SOLUTION:
Solve by factoring:
In this trinomial,
a = 2, b = 11, and c =
–6, so m + p is positive and mp is negative. Therefore, m and p must have
different signs. List the factors of 2(–6) or
–12
and identify the factors with a sum of 11.
–12
Sum
Factors of
1, –12
–11
–1, 12
11
2, –6
–4
–2, 6
4
3, –4
–1
–3, 4
1
The correct factors are –1 and 12. So, use m = -1 and p = 12.
Solve the equation using the Zero Product Property
The solutions are –6 and
.
2
8. 2x
− 3x − 6 = 0
SOLUTION:
Solve using the quadratic formula.
For this equation, a = 2, b = –3, and c = –6.
Quadratic Formula:
eSolutions Manual - Powered by Cognero
Page 4
The solutions are 2.6 and –1.1.
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