x^2-2x-25/144=0

Solution for x^2-2x-25/144=0 equation:

x^2-2x-25/144=0

We multiply all the terms by the denominator


x^2*144-2x*144-25=0

Wy multiply elements

144x^2-288x-25=0

a = 144; b = -288; c = -25;
Δ = b2-4ac
Δ = -2882-4·144·(-25)
Δ = 97344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{97344}=312$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-288)-312}{2*144}=\frac{-24}{288}
=-1/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-288)+312}{2*144}=\frac{600}{288}
=2+1/12
$