DISCRIMINANT EXAMPLES Use the discriminant to determine the number of solutions. Formula: ²d=b²-4°C D ab c 2 7. y = x +5x+4 d=5²-404) 25-16 9. y = x² +10x + 25 11. y = 4x² - 12x +9 >If d > 0, then there are >If d = 0, then there are >If d < 0, then there are 2 solutions a 1 solution 0 solutions d=9 2 solutions ☐ 1 solution 0 solutions ☐ 2 solutions ☐ 1 solution □ O solutions 8. y = x²-3x+10 2 solutions. 1 solutions. solutions. = (-3)2²-4(1)(10 a= d = 9-40=-31 10. y = 2x² - 4x-3 12. y = -3x² + 5x-8 2 solutions 1 solution O solutions 2 solutions 01 solution O solutions 2 solutions ☐ 1 solution 00 solutions Gina Wilson (All Things Algebra, LLC), 2012-2017
DISCRIMINANT EXAMPLES Use the discriminant to determine the number of solutions. Formula: ²d=b²-4°C D ab c 2 7. y = x +5x+4 d=5²-404) 25-16 9. y = x² +10x + 25 11. y = 4x² - 12x +9 >If d > 0, then there are >If d = 0, then there are >If d < 0, then there are 2 solutions a 1 solution 0 solutions d=9 2 solutions ☐ 1 solution 0 solutions ☐ 2 solutions ☐ 1 solution □ O solutions 8. y = x²-3x+10 2 solutions. 1 solutions. solutions. = (-3)2²-4(1)(10 a= d = 9-40=-31 10. y = 2x² - 4x-3 12. y = -3x² + 5x-8 2 solutions 1 solution O solutions 2 solutions 01 solution O solutions 2 solutions ☐ 1 solution 00 solutions Gina Wilson (All Things Algebra, LLC), 2012-2017
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.S: Summary
Problem 10S
Related questions
Question
Transcribed Image Text:DISCRIMINANT
EXAMPLES
Use the discriminant to
determine the number
of solutions.
Formula:
²d=b²-4°C
D
ab c
2
7. y = x +5x+4
d=5²-404)
25-16
9. y = x² +10x + 25
11. y = 4x² - 12x +9
>If d > 0, then there are
>If d = 0, then there are
>If d < 0, then there are
2 solutions
a
1
solution
0 solutions
d=9
2 solutions
☐ 1 solution
0 solutions
☐ 2 solutions
☐ 1 solution
□ O solutions
8. y = x²-3x+10
2 solutions.
1
solutions.
solutions.
= (-3)2²-4(1)(10
a=
d = 9-40=-31
10. y = 2x² - 4x-3
12. y = -3x² + 5x-8
2 solutions
1 solution
O solutions
2 solutions
01 solution
O solutions
2 solutions
☐ 1 solution
00 solutions
Gina Wilson (All Things Algebra, LLC), 2012-2017
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