X2-300x+20000=0

Solution for X2-300x+20000=0 equation:

X2-300X+20000=0

We add all the numbers together, and all the variables

X^2-300X+20000=0

a = 1; b = -300; c = +20000;
Δ = b2-4ac
Δ = -3002-4·1·20000
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-300)-100}{2*1}=\frac{200}{2}
=100
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-300)+100}{2*1}=\frac{400}{2}
=200
$