what is the value of the discriminant for the quadratic equation 0 = x + 2 + x²? discriminant = b²…
what is the value of the discriminant for the quadratic equation 0 = x + 2 + x²? discriminant = b² - 4ac\n-9\n-7\n7\n9
Answer
Explanation:
Step1: Rewrite equation in standard form
Rewrite $0 = x + 2+x^{2}$ as $x^{2}+x + 2=0$. For a quadratic equation $ax^{2}+bx + c = 0$, here $a = 1$, $b = 1$, $c = 2$.
Step2: Calculate the discriminant
Substitute $a = 1$, $b = 1$, $c = 2$ into the discriminant formula $b^{2}-4ac$. We get $1^{2}-4\times1\times2=1 - 8=-7$.
Answer:
-7