1.) What is the sum of the roots of 15j² - 7j - 2 = 0?
a. 7/15
b. - 7/15
c. 2/15
d. - 2/15
2.) Which of the following is the product of the roots of 2p² - 10p = 20?
a. - 10
b. 10
c. - 5
d. 5
3.) In the equation - 18 + 12d = -6d², what is the sum of its roots?
a. 2
b. -2
c. 3
d. -3
4.) Given the roots 5 and 9, which is its equation?
a. f² + 14f + 45 = 0
b. f² - 14f + 45 = 0
c. f² + 45f + 14 = 0
d. f² + 45f - 14 = 0
5.) What is the quadratic equation given the sum of the roots which is equal to - 4 and the product of the roots which
is -- 5 respectively?
a. 2x² + 8x - 10 = 0
b. 2x² - 8x - 10 = 0
c. 2x² + 8x + 10 = 0
d. 2x² - 8x + 10 = 0
Answers & Comments
Answer:
1. A 7/15
2. A -10
3. B -2
4. B f² - 14f + 45 = 0
5. A 2x² + 8x + 10 = 0
Step-by-step explanation:
1. -b/a = 7/15
2. c/a = -20/2 or -10
3. -b/a = -12/6 or -2
4. (f-5)(f-9) = f² - 14f + 45 = 0
5. x² - Sumx + Product = 0
2(x² + 4x - 5) = 0
2x² + 8x - 10 = 0