1764=13x+x2

Solution for 1764=13x+x2 equation:

1764=13x+x2

We move all terms to the left:

1764-(13x+x2)=0

We add all the numbers together, and all the variables

-(+13x+x^2)+1764=0

We get rid of parentheses

-x^2-13x+1764=0

We add all the numbers together, and all the variables

-1x^2-13x+1764=0

a = -1; b = -13; c = +1764;
Δ = b2-4ac
Δ = -132-4·(-1)·1764
Δ = 7225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7225}=85$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-85}{2*-1}=\frac{-72}{-2}
=+36
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+85}{2*-1}=\frac{98}{-2}
=-49
$