Where do i get start if there's not a common factor? 2x²+5x-25=0?

Question

Where do i get start if there's not a common factor? 2x²+5x-25=0?

Answer 1

good luck

Answer 2

Use the quadratic formula:

If Ax²+Bx+C=0, then:

x = [-B ± √(B²-4AC)] / (2A)

2x²+5x-25=0

x = [-5 ± √(25-4(2)(-25))] / 4

= [-5 ± √(25+200)] / 4

= [-5 ± 15] / 4

= {-20/4, 10/4}

= {-5, 5/2}

EDIT: And yes, factoring it also works, but the quadratic formula is more general and works for any real A, B, and C.