X/12x-2x-11=29

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Solution for X/12x-2x-11=29 equation:



X/12X-2X-11=29
We move all terms to the left:
X/12X-2X-11-(29)=0
Domain of the equation: 12X!=0
X!=0/12
X!=0
X∈R
We add all the numbers together, and all the variables
-2X+X/12X-40=0
We multiply all the terms by the denominator
-2X*12X+X-40*12X=0
We add all the numbers together, and all the variables
X-2X*12X-40*12X=0
Wy multiply elements
-24X^2+X-480X=0
We add all the numbers together, and all the variables
-24X^2-479X=0
a = -24; b = -479; c = 0;
Δ = b2-4ac
Δ = -4792-4·(-24)·0
Δ = 229441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{229441}=479$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-479)-479}{2*-24}=\frac{0}{-48} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-479)+479}{2*-24}=\frac{958}{-48} =-19+23/24 $

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