Use the discriminant to determine the number and type of solutions of the equation.
-$x ^ { 2 } - 3 x + 4 = 0$
A) one real solution
B) two complex but not real solutions
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 $x^2 - 3x + 4 = 0$, the discriminant is $(-3)^2 - 4(1)(4) = 9 - 16 = -7$. Since the discriminant is negative, the equation has two complex (but not real) solutions.

Use the Discriminant to Determine the Number and Type of Solutions