Question

Will the solutions to the equation 12x^2-5x-2=0 be positive or negative and how would you know without solving the equation completely?

Answer 1

Hey there! Let's look at this equation differently!


ax^2-bx-c=0

we know that the factored form will have different signs like this

(dx-f)(ex+g)
ex+g=0
ex=-g

therefor there is a positive and negative answer (2 roots total)

I hope this helps!