x+x*(100/19)=168

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Solution for x+x*(100/19)=168 equation:



x+x(100/19)=168
We move all terms to the left:
x+x(100/19)-(168)=0
We add all the numbers together, and all the variables
x+x(+100/19)-168=0
We multiply parentheses
100x^2+x-168=0
a = 100; b = 1; c = -168;
Δ = b2-4ac
Δ = 12-4·100·(-168)
Δ = 67201
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{-(1)-\sqrt{67201}}{2*100}=\frac{-1-\sqrt{67201}}{200} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{67201}}{2*100}=\frac{-1+\sqrt{67201}}{200} $

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