Use the Discriminant to Determine the Number and Type of Solutions
Compute the discriminant. Then determine the number and type of solutions for the given equation.
-$$x ^ { 2 } + 7 x + 6 = 0$$
A) 25 ; two unequal real solutions
B) $- 73$; two complex imaginary solutions
C) 0 ; one real solution

Question

Quizplus · Accepted Answer

The discriminant is $b^2 - 4ac = 7^2 - 4(1)(6) = 25$. Since the discriminant is positive, there are two real solutions. Also, because the discriminant is not a perfect square, the solutions are two unequal real solutions.