12x2/8=x1/8

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Solution for 12x2/8=x1/8 equation:



12x^2/8=x1/8
We move all terms to the left:
12x^2/8-(x1/8)=0
We add all the numbers together, and all the variables
12x^2/8-(+x1/8)=0
We get rid of parentheses
12x^2/8-x1/8=0
We multiply all the terms by the denominator
12x^2-x1=0
We add all the numbers together, and all the variables
12x^2-1x=0
a = 12; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·12·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*12}=\frac{0}{24} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*12}=\frac{2}{24} =1/12 $

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