0=x^2-54x+725

Solution for 0=x^2-54x+725 equation:

0=x^2-54x+725

We move all terms to the left:

0-(x^2-54x+725)=0

We add all the numbers together, and all the variables

-(x^2-54x+725)=0

We get rid of parentheses

-x^2+54x-725=0

We add all the numbers together, and all the variables

-1x^2+54x-725=0

a = -1; b = 54; c = -725;
Δ = b2-4ac
Δ = 542-4·(-1)·(-725)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-4}{2*-1}=\frac{-58}{-2}
=+29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+4}{2*-1}=\frac{-50}{-2}
=+25
$