x(x+11)=1452

Solution for x(x+11)=1452 equation:

x(x+11)=1452

We move all terms to the left:

x(x+11)-(1452)=0

We multiply parentheses

x^2+11x-1452=0

a = 1; b = 11; c = -1452;
Δ = b2-4ac
Δ = 112-4·1·(-1452)
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-77}{2*1}=\frac{-88}{2}
=-44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+77}{2*1}=\frac{66}{2}
=33
$