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20-x+0.80/x=0.1556
We move all terms to the left:
20-x+0.80/x-(0.1556)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
-1x+0.80/x+19.8444=0
We multiply all the terms by the denominator
-1x*x+(19.8444)*x+0.80=0
We add all the numbers together, and all the variables
-1x*x+(19.8444)*x+0.8=0
We multiply parentheses
-1x*x+19.8444x+0.8=0
Wy multiply elements
-1x^2+19.8444x+0.8=0
a = -1; b = 19.8444; c = +0.8;
Δ = b2-4ac
Δ = 19.84442-4·(-1)·0.8
Δ = 397.00021136
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{-(19.8444)-\sqrt{397.00021136}}{2*-1}=\frac{-19.8444-\sqrt{397.00021136}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.8444)+\sqrt{397.00021136}}{2*-1}=\frac{-19.8444+\sqrt{397.00021136}}{-2} $
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