How do you solve 2x^2-9x-35=0?

1 Answer
Sep 1, 2016

x = -5/2 and 7

Explanation:

Solve by factoring.

2x^2 - 9x - 35 = 0

Find two numbers that multiply to 2 xx -35 = -70 and that add to -9. Two numbers that do this are -14 and 5.

2x^2 - 14x + 5x - 35 = 0

2x(x - 7) + 5(x - 7) = 0

(2x + 5)(x - 7) = 0

x = -5/2 and 7

Hopefully this helps!