x+2/100x=1.67

Solution for x+2/100x=1.67 equation:

x+2/100x=1.67

We move all terms to the left:

x+2/100x-(1.67)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We add all the numbers together, and all the variables

x+2/100x-1.67=0

We multiply all the terms by the denominator


x*100x-(1.67)*100x+2=0

We multiply parentheses

x*100x-167x+2=0

Wy multiply elements

100x^2-167x+2=0

a = 100; b = -167; c = +2;
Δ = b2-4ac
Δ = -1672-4·100·2
Δ = 27089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-167)-\sqrt{27089}}{2*100}=\frac{167-\sqrt{27089}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-167)+\sqrt{27089}}{2*100}=\frac{167+\sqrt{27089}}{200}
$