20000t^2-1020000t+1000000=0

Solution for 20000t^2-1020000t+1000000=0 equation:

20000t^2-1020000t+1000000=0

a = 20000; b = -1020000; c = +1000000;
Δ = b2-4ac
Δ = -10200002-4·20000·1000000
Δ = 960400000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{960400000000}=980000$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1020000)-980000}{2*20000}=\frac{40000}{40000}
=1
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1020000)+980000}{2*20000}=\frac{2000000}{40000}
=50
$