X+(30/100)x=13.30

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Solution for X+(30/100)x=13.30 equation:



X+(30/100)X=13.30
We move all terms to the left:
X+(30/100)X-(13.30)=0
Domain of the equation: 100)X!=0
X!=0/1
X!=0
X∈R
We add all the numbers together, and all the variables
X+(+30/100)X-(13.3)=0
We add all the numbers together, and all the variables
X+(+30/100)X-13.3=0
We multiply parentheses
30X^2+X-13.3=0
a = 30; b = 1; c = -13.3;
Δ = b2-4ac
Δ = 12-4·30·(-13.3)
Δ = 1597
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{1597}}{2*30}=\frac{-1-\sqrt{1597}}{60} $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1597}}{2*30}=\frac{-1+\sqrt{1597}}{60} $

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