3/24y+1/12y+2=4

Solution for 3/24y+1/12y+2=4 equation:

3/24y+1/12y+2=4

We move all terms to the left:

3/24y+1/12y+2-(4)=0


Domain of the equation: 24y!=0

y!=0/24

y!=0

y∈R



Domain of the equation: 12y!=0

y!=0/12

y!=0

y∈R


We add all the numbers together, and all the variables

3/24y+1/12y-2=0

We calculate fractions


36y/288y^2+24y/288y^2-2=0

We multiply all the terms by the denominator


36y+24y-2*288y^2=0

We add all the numbers together, and all the variables

60y-2*288y^2=0

Wy multiply elements

-576y^2+60y=0

a = -576; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·(-576)·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*-576}=\frac{-120}{-1152}
=5/48
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*-576}=\frac{0}{-1152}
=0
$