Question

Solve the following quadratic equation using the formula method:
$4x^2+7x+2=0$

Answer 1

$4x^2+7x+2=0$
Comparing with the $a{x}^2+bx+c=0$
$a=4,b=7,c=2$
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
$=\frac{-7\pm \sqrt{{\left(7\right)}^{2}4\times 4\times 2}}{2\times 4}$
$=\frac{-7\pm \sqrt{49-32}}{8}$
$=\frac{-7\pm \sqrt{17}}{8}$
$\therefore$ $x=\frac{-7+\sqrt{17}}{8}$ and $x=\frac{-7-\sqrt{17}}{8}$