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.
-$$\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1$$
A) $x = \frac { 7 + \sqrt { 69 } } { 10 }$
B) $x = \frac { - 7 \pm \sqrt { 69 } } { 10 }$
C) $x = \frac { 7 \pm \sqrt { 69 } } { 10 }$
D) No real zeros or $\mathrm { x }$-intercepts

Question

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For $F(x) = 5x^2 - 7x - 1$, $a = 5$, $b = -7$, and $c = -1$. Plugging these into the formula gives $x = \frac{7 \pm \sqrt{69}}{10}$.

Find the Real Zeros, If Any, of Each Quadratic Function F(x)=5x2−7x−1\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1F(x)=5x2−7x−1

Find the Real Zeros, If Any, of Each Quadratic Function $\mathrm { F } ( \mathrm { x } ) = 5 \mathrm { x } ^ { 2 } - 7 \mathrm { x } - 1$