247=84x^2+901x

Solution for 247=84x^2+901x equation:

247=84x^2+901x

We move all terms to the left:

247-(84x^2+901x)=0

We get rid of parentheses

-84x^2-901x+247=0

a = -84; b = -901; c = +247;
Δ = b2-4ac
Δ = -9012-4·(-84)·247
Δ = 894793
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-901)-\sqrt{894793}}{2*-84}=\frac{901-\sqrt{894793}}{-168}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-901)+\sqrt{894793}}{2*-84}=\frac{901+\sqrt{894793}}{-168}
$