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2/19x+6x=49
We move all terms to the left:
2/19x+6x-(49)=0
Domain of the equation: 19x!=0We add all the numbers together, and all the variables
x!=0/19
x!=0
x∈R
6x+2/19x-49=0
We multiply all the terms by the denominator
6x*19x-49*19x+2=0
Wy multiply elements
114x^2-931x+2=0
a = 114; b = -931; c = +2;
Δ = b2-4ac
Δ = -9312-4·114·2
Δ = 865849
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{-(-931)-\sqrt{865849}}{2*114}=\frac{931-\sqrt{865849}}{228} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-931)+\sqrt{865849}}{2*114}=\frac{931+\sqrt{865849}}{228} $
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