The Roots Of A Quadratic Equation Are -5 And 3. Which Of The Following Quadratic Equations, Has These Roots?, A. &- 8x + 15 = 0, C. 2\Xb2 2013 2x 2013
The roots of a quadratic equation are -5 and 3. Which of the following quadratic equations
has these roots?
A. &- 8x + 15 = 0
C. 2² – 2x – 15 = 0
B. x2 + 8x + 15 = 0
D. x2 + 2x - 15 = 0
Answer:
(D.) x² + 2x - 15 = 0
Step-by-step explanation:
To determine the equation given the roots:
x² - (sum of roots)x + (product of roots) = 0
Given roots: {-5, 3}
Substitute:
x² - (-5) + (3)x + (-5)(3) = 0
x² - (-2)x - 15 = 0
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