Answer
No Real Solution
Work Step by Step
$Find$ $all$ $real$ $solutions$ $of$ $the$ $quadratic$ $equation:$
$7x^2-2x+4=0$
Use the Quadratic Equation Formula: $x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$
$7x^2-2x+4$
$a = 7, b = -2, c = 4$
$x = \frac{-(-2) \pm \sqrt {(-2)^2- 4(7 \times 4)}}{2(7)}$
$x = \frac{2 \pm \sqrt {4- 112}}{14}$
$x = \frac{2 \pm \sqrt {-108}}{14}$
You can never square root a negative number, so there is no real solution
No Real Solution
