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x-46000/x=0.18
We move all terms to the left:
x-46000/x-(0.18)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
x-46000/x-0.18=0
We multiply all the terms by the denominator
x*x-(0.18)*x-46000=0
We multiply parentheses
x*x-0.18x-46000=0
Wy multiply elements
x^2-0.18x-46000=0
a = 1; b = -0.18; c = -46000;
Δ = b2-4ac
Δ = -0.182-4·1·(-46000)
Δ = 184000.0324
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{-(-0.18)-\sqrt{184000.0324}}{2*1}=\frac{0.18-\sqrt{184000.0324}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.18)+\sqrt{184000.0324}}{2*1}=\frac{0.18+\sqrt{184000.0324}}{2} $
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