20x2-5000x+48000=0

Solution for 20x2-5000x+48000=0 equation:

20x^2-5000x+48000=0

a = 20; b = -5000; c = +48000;
Δ = b2-4ac
Δ = -50002-4·20·48000
Δ = 21160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21160000}=4600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5000)-4600}{2*20}=\frac{400}{40}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5000)+4600}{2*20}=\frac{9600}{40}
=240
$