Use the discriminant to determine whether the equation has two distinct real solutions, a single real solution, or no real
solution.
-$$x ^ { 2 } + 6 x + 9 = 0$$
A)one real solution
B)no real solution
C)two real solutions

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $x^2 + 6x + 9 = 0$, the discriminant is $6^2 - 4(1)(9) = 36 - 36 = 0$. A discriminant of 0 indicates that there is exactly one real solution.

Use the Discriminant to Determine Whether the Equation Has Two x2+6x+9=0x ^ { 2 } + 6 x + 9 = 0x2+6x+9=0

Use the Discriminant to Determine Whether the Equation Has Two $x ^ { 2 } + 6 x + 9 = 0$