x(x+13)=1764

Solution for x(x+13)=1764 equation:

x(x+13)=1764

We move all terms to the left:

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

We multiply parentheses

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