Question

The roots of a quadratic equation are -5 and 3. Which of the following quadratic equation has these roots?
A. x²-8x+15=0
B. x²+8x+15=0
C. x²-2x-15=0
D. x²+2x-15=0​

Answer 1

Answer:

D. x²+2x-15=0

Step-by-step explanation:

x² - (-5 + 3)x + [(-5)(3)] = 0

    x² - (-2)x + (-15) = 0

    x² + 2x - 15 = 0

Answer 2

Answer:

D.

${x}^{2} + 2x - 15 = 0$

Step-by-step explanation:

The derive the quadratic equation from the given roots :

x^2 - (sum of roots) x + (product of roots) = 0

Roots :- -5 and 3

${x}^{2} - ( - 5 + 3)x + (( - 5)(3)) = 0 \\ {x}^{2} - ( - 2)x + ( - 15) = 0 \\ {x}^{2} + 2x - 15 = 0$