Answer:
The solutions are 3 and -8
Step-by-step explanation:
2x² + 10x - 48 = 0
Divide both sides by 2:
x² + 5x - 24 = 0
Factor using AM method (What two numbers add to 5 and multiply to -24?):
(x - 3)(x + 8) = 0
Set both expressions equal to 0:
x - 3 = 0 x + 8 = 0
Solve both equations for x:
x = 3 x = -8