x(22/100)=15,000

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Solution for x(22/100)=15,000 equation:



x(22/100)=15.000
We move all terms to the left:
x(22/100)-(15.000)=0
We add all the numbers together, and all the variables
x(+22/100)-15=0
We multiply parentheses
22x^2-15=0
a = 22; b = 0; c = -15;
Δ = b2-4ac
Δ = 02-4·22·(-15)
Δ = 1320
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:
$\sqrt{\Delta}=\sqrt{1320}=\sqrt{4*330}=\sqrt{4}*\sqrt{330}=2\sqrt{330}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{330}}{2*22}=\frac{0-2\sqrt{330}}{44} =-\frac{2\sqrt{330}}{44} =-\frac{\sqrt{330}}{22} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{330}}{2*22}=\frac{0+2\sqrt{330}}{44} =\frac{2\sqrt{330}}{44} =\frac{\sqrt{330}}{22} $

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