CPM Homework Help : A2C Problem 10-14

Find all values of $a$ for which the equation $ax^{2} + 5x + 6 = 0$ has a solution that is a real number. Express a in terms of one or more inequalities.

Hint:

Use the discriminant. Find the value of a that makes this quantity non-negative.

Answer:

$a\le\frac{25}{24}$