what is the value of the discriminant for the quadratic equation 0 = 2x² + x - 3? discriminant = b² - 4ac…

Explanation:

Step1: Identify a, b, c values

For the quadratic equation $2x^{2}+x - 3=0$, we have $a = 2$, $b = 1$, $c=-3$.

Step2: Substitute into discriminant formula

Substitute $a = 2$, $b = 1$, $c=-3$ into $b^{2}-4ac$. We get $1^{2}-4\times2\times(-3)$.

Step3: Calculate the result

First, $1^{2}=1$. Then, $4\times2\times(-3)=-24$. So, $1-(-24)=1 + 24=25$.

Answer:

C. 25