800(1/2)t=200

Solution for 800(1/2)t=200 equation:

800(1/2)t=200

We move all terms to the left:

800(1/2)t-(200)=0


Domain of the equation: 2)t!=0

t!=0/1

t!=0

t∈R


We add all the numbers together, and all the variables

800(+1/2)t-200=0

We multiply parentheses

800t^2-200=0

a = 800; b = 0; c = -200;
Δ = b2-4ac
Δ = 02-4·800·(-200)
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-800}{2*800}=\frac{-800}{1600}
=-1/2
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*800}=\frac{800}{1600}
=1/2
$