what is the value of the discriminant for the quadratic equation -3 = -x² + 2x? discriminant = b² - 4ac -8 4…
what is the value of the discriminant for the quadratic equation -3 = -x² + 2x? discriminant = b² - 4ac -8 4 8 16
Answer
Explanation:
Step1: Rewrite equation in standard form
First, rewrite $-3=-x^{2}+2x$ as $x^{2}-2x - 3=0$. Here, $a = 1$, $b=-2$, $c=-3$.
Step2: Calculate discriminant
Substitute $a = 1$, $b=-2$, $c=-3$ into the discriminant formula $b^{2}-4ac$. So we have $(-2)^{2}-4\times1\times(-3)$. $(-2)^{2}-4\times1\times(-3)=4 + 12$. $4+12 = 16$.
Answer:
16