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0.04/x=1x=
We move all terms to the left:
0.04/x-(1x)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
-1x+0.04/x=0
We multiply all the terms by the denominator
-1x*x+0.04=0
Wy multiply elements
-1x^2+0.04=0
a = -1; b = 0; c = +0.04;
Δ = b2-4ac
Δ = 02-4·(-1)·0.04
Δ = 0.16
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{-(0)-\sqrt{0.16}}{2*-1}=\frac{0-\sqrt{0.16}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.16}}{2*-1}=\frac{0+\sqrt{0.16}}{-2} =\frac{\sqrt{}}{-2} $
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