x^2-55x=56

Solution for x^2-55x=56 equation:

x^2-55x=56

We move all terms to the left:

x^2-55x-(56)=0

a = 1; b = -55; c = -56;
Δ = b2-4ac
Δ = -552-4·1·(-56)
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-57}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+57}{2*1}=\frac{112}{2}
=56
$