(1/2)(20t)=50000

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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 $

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