12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0? If the factors of b do not have a sum of a, then the quadratic formula is necessary. If the factors of c do not have a sum of a, then the quadratic formula is necessary. O If the factors of b do not have a sum of c and the value of a is 1, then the quadratic formula is necessary. If the factors of c do not have a sum of b and the value of a is 1, the quadratic formula is necessary. 13. Simplify a√/27 - 2√/3a². C √27-3a² 27-3a² a√3 24a²

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
Section6.4: Quadratric Formula
Problem 61PS
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12. When should the quadratic formula be used to find the roots of a quadratic equation, ax² + bx + c = 0?
If the factors of b do not have a sum of a, then the quadratic formula is necessary.
If the factors of c do not have a sum of a, then the quadratic formula is necessary.
If the factors of b do not have a sum of c and the value of a is 1, then the quadratic formula is necessary.
If the factors of c do not have a sum of b and the value of a is 1, the quadratic formula is necessary.
13. Simplify a√27 - 2√3a².
27-3a²
O-√27-3a²
O a√3
O 24a²
Transcribed Image Text:12. When should the quadratic formula be used to find the roots of a quadratic equation, ax² + bx + c = 0? If the factors of b do not have a sum of a, then the quadratic formula is necessary. If the factors of c do not have a sum of a, then the quadratic formula is necessary. If the factors of b do not have a sum of c and the value of a is 1, then the quadratic formula is necessary. If the factors of c do not have a sum of b and the value of a is 1, the quadratic formula is necessary. 13. Simplify a√27 - 2√3a². 27-3a² O-√27-3a² O a√3 O 24a²
14. Use the quadratic formula to find the roots of the equation: 2x² + 5x – 42 = 0.
x = -4 and x =
x = -7 and x = -6
x = -6 and x =
X =
6
7
=
=
15. A triangle with a base of
52
and x = 2
O 12-m²-m
O 12-²³-m
3
1|2
3
7
O 12-m²-³m
4
4
9
3
O 12 = ²m-²/
4
4
(1-m-3)
and a height of 2m has an area of 12 square units. Determine the equation that can be used to determine the value of m.
Transcribed Image Text:14. Use the quadratic formula to find the roots of the equation: 2x² + 5x – 42 = 0. x = -4 and x = x = -7 and x = -6 x = -6 and x = X = 6 7 = = 15. A triangle with a base of 52 and x = 2 O 12-m²-m O 12-²³-m 3 1|2 3 7 O 12-m²-³m 4 4 9 3 O 12 = ²m-²/ 4 4 (1-m-3) and a height of 2m has an area of 12 square units. Determine the equation that can be used to determine the value of m.
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