I’m way behind in class and can’t remember this material. The question says “Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.”

Question

I’m way behind in class and can’t remember this material. The question says “Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.”

The problem I’m having trouble with is: 2x^2+x+3

Answer 1

review the quadratic formula

the discriminant is negative, so there are no real roots at all.
Since the roots are complex, the roots do not lie between any two integers. Complex numbers cannot be ordered with "greater" or "less" than.

Now, if you have a typo, and meant 2x^2 + x - 3, then that is
(2x+3)(x-1) so the roots are -3/2 and 1