4*x^2-100*x+576=0

Solution for 4*x^2-100*x+576=0 equation:

4x^2-100x+576=0

a = 4; b = -100; c = +576;
Δ = b2-4ac
Δ = -1002-4·4·576
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-28}{2*4}=\frac{72}{8}
=9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+28}{2*4}=\frac{128}{8}
=16
$