Compute the discriminant. Then determine the number and type of solutions for the given equation.
-$$x ^ { 2 } + 7 x + 6 = 0$$
A) $- 73$; two complex imaginary solutions
B) 0 ; one real solution
C) 25 ; two unequal 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 given equation $x^2 + 7x + 6 = 0$, $a = 1$, $b = 7$, and $c = 6$, so the discriminant is $7^2 - 4(1)(6) = 49 - 24 = 25$. Since the discriminant is positive, there are two unequal real solutions.

Compute the Discriminant x2+7x+6=0x ^ { 2 } + 7 x + 6 = 0x2+7x+6=0

Compute the Discriminant $x ^ { 2 } + 7 x + 6 = 0$