Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
-$s ^ { 2 } + 3 s - 4 = 0$
A) Two distinct irrational solutions
B) Two distinct rational solutions
C) Two distinct nonreal complex solutions
D) One rational solution (a double solution)

Question

Quizplus · Accepted Answer

The discriminant of the quadratic equation $s^2 + 3s - 4 = 0$ is $b^2 - 4ac = 3^2 - 4(1)(-4) = 9 + 16 = 25$. Since the discriminant is a perfect square and positive, the equation has two distinct rational solutions.

Evaluate the Discriminant for the Equation s2+3s−4=0s ^ { 2 } + 3 s - 4 = 0s2+3s−4=0

Evaluate the Discriminant for the Equation $s ^ { 2 } + 3 s - 4 = 0$