### Home > INT2 > Chapter 12 > Lesson 12.2.3 > Problem 12-107

12-107.

You are given the equation 5*x*^{2} + *bx* + 20 = 0. For what values of *b* does this equation have real solutions? Homework Help ✎

The equation will have real solutions as long as the discriminant (the value under the radical) is greater than or equal to zero.

Solve the inequality *b*² − 4*ac* ≥ 0 using the values for *a* and *c* in the given equation and replacing *b* with *h*.