x^2-25x=144

Solution for x^2-25x=144 equation:

x^2-25x=144

We move all terms to the left:

x^2-25x-(144)=0

a = 1; b = -25; c = -144;
Δ = b2-4ac
Δ = -252-4·1·(-144)
Δ = 1201
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-\sqrt{1201}}{2*1}=\frac{25-\sqrt{1201}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{1201}}{2*1}=\frac{25+\sqrt{1201}}{2}
$