(2/12)y-44=0

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Solution for (2/12)y-44=0 equation:



(2/12)y-44=0
Domain of the equation: 12)y!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
(+2/12)y-44=0
We multiply parentheses
2y^2-44=0
a = 2; b = 0; c = -44;
Δ = b2-4ac
Δ = 02-4·2·(-44)
Δ = 352
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{352}=\sqrt{16*22}=\sqrt{16}*\sqrt{22}=4\sqrt{22}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{22}}{2*2}=\frac{0-4\sqrt{22}}{4} =-\frac{4\sqrt{22}}{4} =-\sqrt{22} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{22}}{2*2}=\frac{0+4\sqrt{22}}{4} =\frac{4\sqrt{22}}{4} =\sqrt{22} $

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