what is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?\n-37\n-31\n43\n49

Answer:

D. 49

Explanation:

Step1: Identify coefficients

For the quadratic equation $2x^{2}+3x - 5=0$, $a = 2$, $b = 3$, $c=-5$.

Step2: Recall discriminant formula

The discriminant formula for a quadratic equation $ax^{2}+bx + c = 0$ is $\Delta=b^{2}-4ac$.

Step3: Substitute values

$\Delta=(3)^{2}-4\times2\times(-5)$.

Step4: Calculate

$\Delta = 9+40=49$.