x2-24x=25

Solution for x2-24x=25 equation:

x2-24x=25

We move all terms to the left:

x2-24x-(25)=0

We add all the numbers together, and all the variables

x^2-24x-25=0

a = 1; b = -24; c = -25;
Δ = b2-4ac
Δ = -242-4·1·(-25)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-26}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+26}{2*1}=\frac{50}{2}
=25
$