Question

given the equation $2x^2 - 3x + 4 = 0$, what is the value of the discriminant? use the keypad to enter your answer in the box. discriminant = \square

Explanation:

Step1: Identify quadratic coefficients

For $ax^2+bx+c=0$, here $a=2$, $b=-3$, $c=4$

Step2: Apply discriminant formula

Discriminant: $\Delta = b^2 - 4ac$

Step3: Substitute values and calculate

$\Delta = (-3)^2 - 4(2)(4) = 9 - 32$

Answer:

$-23$