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x+2/100x=1.67
We move all terms to the left:
x+2/100x-(1.67)=0
Domain of the equation: 100x!=0We add all the numbers together, and all the variables
x!=0/100
x!=0
x∈R
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} $
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