y/4y+9-2y-1=64

Solution for y/4y+9-2y-1=64 equation:

y/4y+9-2y-1=64

We move all terms to the left:

y/4y+9-2y-1-(64)=0


Domain of the equation: 4y!=0

y!=0/4

y!=0

y∈R


We add all the numbers together, and all the variables

-2y+y/4y-56=0

We multiply all the terms by the denominator


-2y*4y+y-56*4y=0

We add all the numbers together, and all the variables

y-2y*4y-56*4y=0

Wy multiply elements

-8y^2+y-224y=0

We add all the numbers together, and all the variables

-8y^2-223y=0

a = -8; b = -223; c = 0;
Δ = b2-4ac
Δ = -2232-4·(-8)·0
Δ = 49729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49729}=223$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-223)-223}{2*-8}=\frac{0}{-16}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-223)+223}{2*-8}=\frac{446}{-16}
=-27+7/8
$