Y/x=X-6

Solution for Y/x=X-6 equation:

/Y=Y-6

We move all terms to the left:

/Y-(Y-6)=0


Domain of the equation: Y!=0

Y∈R


We get rid of parentheses

/Y-Y+6=0

We multiply all the terms by the denominator


-Y*Y+6*Y+=0

We add all the numbers together, and all the variables

6Y-Y*Y=0

Wy multiply elements

-1Y^2+6Y=0

a = -1; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-1)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-1}=\frac{-12}{-2}
=+6
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-1}=\frac{0}{-2}
=0
$