X^2-26x=-25

Solution for X^2-26x=-25 equation:

X^2-26X=-25

We move all terms to the left:

X^2-26X-(-25)=0

We add all the numbers together, and all the variables

X^2-26X+25=0

a = 1; b = -26; c = +25;
Δ = b2-4ac
Δ = -262-4·1·25
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-24}{2*1}=\frac{2}{2}
=1
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+24}{2*1}=\frac{50}{2}
=25
$