25x^2-250x+576=0

Solution for 25x^2-250x+576=0 equation:

25x^2-250x+576=0

a = 25; b = -250; c = +576;
Δ = b2-4ac
Δ = -2502-4·25·576
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-70}{2*25}=\frac{180}{50}
=3+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+70}{2*25}=\frac{320}{50}
=6+2/5
$