s^2-s=870

Solution for s^2-s=870 equation:

s^2-s=870

We move all terms to the left:

s^2-s-(870)=0

We add all the numbers together, and all the variables

s^2-1s-870=0

a = 1; b = -1; c = -870;
Δ = b2-4ac
Δ = -12-4·1·(-870)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-59}{2*1}=\frac{-58}{2}
=-29
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+59}{2*1}=\frac{60}{2}
=30
$