Use the discriminant of the equation to determine the number of $x$-intercepts.
-$f(x)=-7 x^{2}-14 x+7$
A) One $x$-intercept
B) No x-intercepts
C) Two $x$-intercepts

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the equation $f(x)=-7x^2-14x+7$, $a = -7$, $b = -14$, and $c = 7$. Thus, the discriminant is $(-14)^2 - 4(-7)(7) = 196 + 196 = 392$. Since the discriminant is positive, the equation has two distinct real roots, meaning there are two $x$-intercepts.

Use the Discriminant of the Equation to Determine the Number xxx

Use the Discriminant of the Equation to Determine the Number $x$