1-1+4/y=11/12y-1

Simple and best practice solution for 1-1+4/y=11/12y-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 1-1+4/y=11/12y-1 equation:



1-1+4/y=11/12y-1
We move all terms to the left:
1-1+4/y-(11/12y-1)=0
Domain of the equation: y!=0
y∈R
Domain of the equation: 12y-1)!=0
y∈R
We add all the numbers together, and all the variables
4/y-(11/12y-1)=0
We get rid of parentheses
4/y-11/12y+1=0
We calculate fractions
48y/12y^2+(-11y)/12y^2+1=0
We multiply all the terms by the denominator
48y+(-11y)+1*12y^2=0
Wy multiply elements
12y^2+48y+(-11y)=0
We get rid of parentheses
12y^2+48y-11y=0
We add all the numbers together, and all the variables
12y^2+37y=0
a = 12; b = 37; c = 0;
Δ = b2-4ac
Δ = 372-4·12·0
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-37}{2*12}=\frac{-74}{24} =-3+1/12 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+37}{2*12}=\frac{0}{24} =0 $

See similar equations:

| -x-8=+14x=-34 | | 5xx=60 | | -3=u-3/8 | | ((5)/(4))^x=16/25 | | -20=28+4t | | 3z+8=180 | | -20=28-4t | | 2x-4​(x-2​)=-3+2x-13 | | X*(2x+1)=300 | | 3x-184x-23=x-16-22 | | r/6=8/7 | | 18x-7x=-276 | | 2(a+7)—7=9 | | x+15+(4x-20)=180 | | 2/3-2r=9 | | 700+80+n=180+n= | | 45x+25x=180 | | x^2+(175-2x)^2=6125 | | 45x+(57+x)=180 | | 28x-10=26x+15 | | 45x+57+x+25x=360 | | 10^-x=3^4x | | W×(2w+1)=300 | | 35=-5(5+w) | | (3x+5/8x)(2x/1)=x | | 18=-w/2+20 | | (3x+5/8x)(2x)=x | | (5y+4)+(−2y+6=2y+6) | | 4x-(-5)+7=13 | | 1/6=1/30x | | 30q+20=0 | | 18+3x-5=7x(-14-x) |

Equations solver categories