100/(500)(.05)=x

Solution for 100/(500)(.05)=x equation:

100/(500)(.05)=x

We move all terms to the left:

100/(500)(.05)-(x)=0

We add all the numbers together, and all the variables

-x+100/500(0.05)=0

We add all the numbers together, and all the variables

-1x+100/500(0.05)=0

We multiply all the terms by the denominator


-1x*500(0.05)+100=0

Wy multiply elements

-500x^2+100=0

a = -500; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-500)·100
Δ = 200000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{200000}=\sqrt{40000*5}=\sqrt{40000}*\sqrt{5}=200\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{5}}{2*-500}=\frac{0-200\sqrt{5}}{-1000}
=-\frac{200\sqrt{5}}{-1000}
=-\frac{\sqrt{5}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{5}}{2*-500}=\frac{0+200\sqrt{5}}{-1000}
=\frac{200\sqrt{5}}{-1000}
=\frac{\sqrt{5}}{-5}
$