x^2-460x+55=C

Solution for x^2-460x+55=C equation:

x^2-460x+55=

We move all terms to the left:

x^2-460x+55-()=0

We add all the numbers together, and all the variables

x^2-460x=0

a = 1; b = -460; c = 0;
Δ = b2-4ac
Δ = -4602-4·1·0
Δ = 211600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{211600}=460$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-460)-460}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-460)+460}{2*1}=\frac{920}{2}
=460
$