x^2-70x-937=47

Solution for x^2-70x-937=47 equation:

x^2-70x-937=47

We move all terms to the left:

x^2-70x-937-(47)=0

We add all the numbers together, and all the variables

x^2-70x-984=0

a = 1; b = -70; c = -984;
Δ = b2-4ac
Δ = -702-4·1·(-984)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-94}{2*1}=\frac{-24}{2}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+94}{2*1}=\frac{164}{2}
=82
$