X+y=270X/y=3/5

Solution for X+y=270X/y=3/5 equation:

X+X=270X/X=3/5

We move all terms to the left:

X+X-(270X/X)=0


Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X+X-(+270X/X)=0

We add all the numbers together, and all the variables

2X-(+270X/X)=0

We get rid of parentheses

2X-270X/X=0

We multiply all the terms by the denominator


2X*X-270X=0

We add all the numbers together, and all the variables

-270X+2X*X=0

Wy multiply elements

2X^2-270X=0

a = 2; b = -270; c = 0;
Δ = b2-4ac
Δ = -2702-4·2·0
Δ = 72900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{72900}=270$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-270)-270}{2*2}=\frac{0}{4}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-270)+270}{2*2}=\frac{540}{4}
=135
$