X+2/4y=3600

Solution for X+2/4y=3600 equation:

X+2/4X=3600

We move all terms to the left:

X+2/4X-(3600)=0


Domain of the equation: 4X!=0

X!=0/4

X!=0

X∈R


We multiply all the terms by the denominator


X*4X-3600*4X+2=0

Wy multiply elements

4X^2-14400X+2=0

a = 4; b = -14400; c = +2;
Δ = b2-4ac
Δ = -144002-4·4·2
Δ = 207359968
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:

$\sqrt{\Delta}=\sqrt{207359968}=\sqrt{16*12959998}=\sqrt{16}*\sqrt{12959998}=4\sqrt{12959998}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14400)-4\sqrt{12959998}}{2*4}=\frac{14400-4\sqrt{12959998}}{8}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14400)+4\sqrt{12959998}}{2*4}=\frac{14400+4\sqrt{12959998}}{8}
$