Question

Solve the following quadratic equation using formula method $3x^2+7x+4=0$.

Answer 1

$3x^2+7x+4=0$

Comparing this with the general form of quadratic equation $a{x}^2+bx+c=0$, we get $a=3,b=7,c=4$

By formula method,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
$\Rightarrow x=\frac{-7\pm \sqrt{7^2-4\times 4\times 3}}{2\times 3}$
$\Rightarrow x=\frac{-7\pm \sqrt{49-48}}{6}$
$\Rightarrow x=\frac{-7\pm 1}{6}$
$\Rightarrow x=-1,\frac{-4}{3}$