What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0

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