Find the real zeros, if any, of each quadratic function using the quadratic formula. List the x-intercepts, if any, of the
graph of the function.
-$$h ( x ) = x ^ { 2 } - 4 x + 20$$
A) $x = - 2 , x = 4$
B) $x = 6 , x = - 2$
C) $x = 4 , x = - 8$
D) No real zeros or $x$-intercepts

Question

Quizplus · Accepted Answer

The discriminant of the quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For $h(x) = x^2 - 4x + 20$, the discriminant is $(-4)^2 - 4(1)(20) = 16 - 80 = -64$, which is less than 0. This means the quadratic equation has no real solutions and, consequently, the graph of the function has no $x$-intercepts.

Find the Real Zeros, If Any, of Each Quadratic Function h(x)=x2−4x+20h ( x ) = x ^ { 2 } - 4 x + 20h(x)=x2−4x+20

Find the Real Zeros, If Any, of Each Quadratic Function $h ( x ) = x ^ { 2 } - 4 x + 20$