Answer:
See below.
Step-by-step explanation:
Solving :-
#1
- x² - 2x - 15 = 0
- x = 2 ± √4 - 4(1)(-15) / 2
- x = 2 ± √64 / 2
- x = 2 ± 8 / 2
- x = 1 ± 4
- x = 5, -3
#2
- 8x² + 2x - 15 = 0
- x = -2 ± √4 - 4(8)(-15) / 16
- x = -2 ± √484 / 16
- x = -2 ± 22 / 16
- x = -1 ± 11 / 8
- x = 5/4, -3/2
They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.
