Find the zeros of the function. Give exact answers.
-$$f ( x ) = x ^ { 2 } - 5 x + 1$$
A) $\frac { 5 \pm \sqrt { 21 } } { 2 }$
B) $\frac { 5 \pm \sqrt { 29 } } { 2 }$
C) $\frac { - 5 \pm \sqrt { 21 } \mathrm { i } } { 2 }$
D) $\frac { 5 \pm \sqrt { 29 } \mathrm { i } } { 2 }$

Question

Quizplus · Accepted Answer

To find the zeros of the function $f(x) = x^2 - 5x + 1$, we use the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = -5$, and $c = 1$. Plugging these values in gives $x = \frac{5 \pm \sqrt{(-5)^2 - 4(1)(1)}}{2(1)} = \frac{5 \pm \sqrt{25 - 4}}{2} = \frac{5 \pm \sqrt{21}}{2}$.

Find the Zeros of the Function f(x)=x2−5x+1f ( x ) = x ^ { 2 } - 5 x + 1f(x)=x2−5x+1

Find the Zeros of the Function $f ( x ) = x ^ { 2 } - 5 x + 1$