(1/2)(20t)=50000

Solution for (1/2)(20t)=50000 equation:

(1/2)(20t)=50000

We move all terms to the left:

(1/2)(20t)-(50000)=0


Domain of the equation: 2)20t!=0

t!=0/1

t!=0

t∈R


We add all the numbers together, and all the variables

(+1/2)20t-50000=0

We multiply parentheses

20t^2-50000=0

a = 20; b = 0; c = -50000;
Δ = b2-4ac
Δ = 02-4·20·(-50000)
Δ = 4000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4000000}=2000$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000}{2*20}=\frac{-2000}{40}
=-50
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000}{2*20}=\frac{2000}{40}
=50
$