170=x+6/100x

Solution for 170=x+6/100x equation:

170=x+6/100x

We move all terms to the left:

170-(x+6/100x)=0


Domain of the equation: 100x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x+6/100x)+170=0

We get rid of parentheses

-x-6/100x+170=0

We multiply all the terms by the denominator


-x*100x+170*100x-6=0

Wy multiply elements

-100x^2+17000x-6=0

a = -100; b = 17000; c = -6;
Δ = b2-4ac
Δ = 170002-4·(-100)·(-6)
Δ = 288997600
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:

$\sqrt{\Delta}=\sqrt{288997600}=\sqrt{400*722494}=\sqrt{400}*\sqrt{722494}=20\sqrt{722494}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17000)-20\sqrt{722494}}{2*-100}=\frac{-17000-20\sqrt{722494}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17000)+20\sqrt{722494}}{2*-100}=\frac{-17000+20\sqrt{722494}}{-200}
$