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

Explanation:

Step1: Rewrite the equation in standard form

First, rewrite $-3=-x^{2}+2x$ as $x^{2}-2x - 3=0$. In the general quadratic - equation $ax^{2}+bx + c = 0$, for the equation $x^{2}-2x - 3=0$, we have $a = 1$, $b=-2$, and $c=-3$.

Step2: Calculate the discriminant

Use the discriminant formula $\Delta=b^{2}-4ac$. Substitute $a = 1$, $b=-2$, and $c=-3$ into the formula: $\Delta=(-2)^{2}-4\times1\times(-3)$. $\Delta = 4+12$. $\Delta = 16$.

Answer:

D. 16