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

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

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

We move all terms to the left:

/4Y+9-2-2Y-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+/4Y-58=0

We multiply all the terms by the denominator


-2Y*4Y-58*4Y+=0

We add all the numbers together, and all the variables

-2Y*4Y-58*4Y=0

Wy multiply elements

-8Y^2-232Y=0

a = -8; b = -232; c = 0;
Δ = b2-4ac
Δ = -2322-4·(-8)·0
Δ = 53824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{53824}=232$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-232)-232}{2*-8}=\frac{0}{-16}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-232)+232}{2*-8}=\frac{464}{-16}
=-29
$