625x^2-625x-54=0

Solution for 625x^2-625x-54=0 equation:

625x^2-625x-54=0

a = 625; b = -625; c = -54;
Δ = b2-4ac
Δ = -6252-4·625·(-54)
Δ = 525625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{525625}=725$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-625)-725}{2*625}=\frac{-100}{1250}
=-2/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-625)+725}{2*625}=\frac{1350}{1250}
=1+2/25
$