Y/4y-y=15

Solution for Y/4y-y=15 equation:

/4Y-Y=15

We move all terms to the left:

/4Y-Y-(15)=0


Domain of the equation: 4Y!=0

Y!=0/4

Y!=0

Y∈R


We add all the numbers together, and all the variables

-1Y+/4Y-15=0

We multiply all the terms by the denominator


-1Y*4Y-15*4Y+=0

We add all the numbers together, and all the variables

-1Y*4Y-15*4Y=0

Wy multiply elements

-4Y^2-60Y=0

a = -4; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·(-4)·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*-4}=\frac{0}{-8}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*-4}=\frac{120}{-8}
=-15
$