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-17x+170/x+11=0
Domain of the equation: x!=0We multiply all the terms by the denominator
x∈R
-17x*x+11*x+170=0
We add all the numbers together, and all the variables
11x-17x*x+170=0
Wy multiply elements
-17x^2+11x+170=0
a = -17; b = 11; c = +170;
Δ = b2-4ac
Δ = 112-4·(-17)·170
Δ = 11681
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{-(11)-\sqrt{11681}}{2*-17}=\frac{-11-\sqrt{11681}}{-34}x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{11681}}{2*-17}=\frac{-11+\sqrt{11681}}{-34}
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