16y/3y=X

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Solution for 16y/3y=X equation:



16y/3y=y
We move all terms to the left:
16y/3y-(y)=0
Domain of the equation: 3y!=0
y!=0/3
y!=0
y∈R
We add all the numbers together, and all the variables
-1y+16y/3y=0
We multiply all the terms by the denominator
-1y*3y+16y=0
We add all the numbers together, and all the variables
16y-1y*3y=0
Wy multiply elements
-3y^2+16y=0
a = -3; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·(-3)·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*-3}=\frac{-32}{-6} =5+1/3 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*-3}=\frac{0}{-6} =0 $

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