/9y+4-7y+11=29

Solution for /9y+4-7y+11=29 equation:

/9y+4-7y+11=29

We move all terms to the left:

/9y+4-7y+11-(29)=0


Domain of the equation: 9y!=0

y!=0/9

y!=0

y∈R


We add all the numbers together, and all the variables

-7y+/9y-14=0

We multiply all the terms by the denominator


-7y*9y-14*9y+=0

We add all the numbers together, and all the variables

-7y*9y-14*9y=0

Wy multiply elements

-63y^2-126y=0

a = -63; b = -126; c = 0;
Δ = b2-4ac
Δ = -1262-4·(-63)·0
Δ = 15876
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15876}=126$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-126}{2*-63}=\frac{0}{-126}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+126}{2*-63}=\frac{252}{-126}
=-2
$