X+x/2x=16.2

Solution for X+x/2x=16.2 equation:

X+X/2X=16.2

We move all terms to the left:

X+X/2X-(16.2)=0


Domain of the equation: 2X!=0

X!=0/2

X!=0

X∈R


We add all the numbers together, and all the variables

X+X/2X-16.2=0

We multiply all the terms by the denominator


X*2X+X-(16.2)*2X=0

We add all the numbers together, and all the variables

X+X*2X-(16.2)*2X=0

We multiply parentheses

X+X*2X-32.4X=0

Wy multiply elements

2X^2+X-32.4X=0

We add all the numbers together, and all the variables

2X^2-31.4X=0

a = 2; b = -31.4; c = 0;
Δ = b2-4ac
Δ = -31.42-4·2·0
Δ = 985.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31.4)-\sqrt{985.96}}{2*2}=\frac{31.4-\sqrt{985.96}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31.4)+\sqrt{985.96}}{2*2}=\frac{31.4+\sqrt{985.96}}{4}
$