x+18/100*x=10088

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Solution for x+18/100*x=10088 equation:



x+18/100x=10088
We move all terms to the left:
x+18/100x-(10088)=0
Domain of the equation: 100x!=0
x!=0/100
x!=0
x∈R
We multiply all the terms by the denominator
x*100x-10088*100x+18=0
Wy multiply elements
100x^2-1008800x+18=0
a = 100; b = -1008800; c = +18;
Δ = b2-4ac
Δ = -10088002-4·100·18
Δ = 1017677432800
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1017677432800}=\sqrt{5664400*179662}=\sqrt{5664400}*\sqrt{179662}=2380\sqrt{179662}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1008800)-2380\sqrt{179662}}{2*100}=\frac{1008800-2380\sqrt{179662}}{200} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1008800)+2380\sqrt{179662}}{2*100}=\frac{1008800+2380\sqrt{179662}}{200} $

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