X+36/y=56

Solution for X+36/y=56 equation:

X+36/X=56

We move all terms to the left:

X+36/X-(56)=0


Domain of the equation: X!=0

X∈R


We multiply all the terms by the denominator


X*X-56*X+36=0

We add all the numbers together, and all the variables

-56X+X*X+36=0

Wy multiply elements

X^2-56X+36=0

a = 1; b = -56; c = +36;
Δ = b2-4ac
Δ = -562-4·1·36
Δ = 2992
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2992}=\sqrt{16*187}=\sqrt{16}*\sqrt{187}=4\sqrt{187}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-4\sqrt{187}}{2*1}=\frac{56-4\sqrt{187}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+4\sqrt{187}}{2*1}=\frac{56+4\sqrt{187}}{2}
$