x*x-x=1190

Solution for x*x-x=1190 equation:

x*x-x=1190

We move all terms to the left:

x*x-x-(1190)=0

We add all the numbers together, and all the variables

-1x+x*x-1190=0

Wy multiply elements

x^2-1x-1190=0

a = 1; b = -1; c = -1190;
Δ = b2-4ac
Δ = -12-4·1·(-1190)
Δ = 4761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4761}=69$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-69}{2*1}=\frac{-68}{2}
=-34
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+69}{2*1}=\frac{70}{2}
=35
$