11/2x+x=5,600

Solution for 11/2x+x=5,600 equation:

11/2x+x=5.600

We move all terms to the left:

11/2x+x-(5.600)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

11/2x+x-(5.6)=0

We add all the numbers together, and all the variables

x+11/2x-5.6=0

We multiply all the terms by the denominator


x*2x-(5.6)*2x+11=0

We multiply parentheses

x*2x-11.2x+11=0

Wy multiply elements

2x^2-11.2x+11=0

a = 2; b = -11.2; c = +11;
Δ = b2-4ac
Δ = -11.22-4·2·11
Δ = 37.44
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{-(-11.2)-\sqrt{37.44}}{2*2}=\frac{11.2-\sqrt{37.44}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.2)+\sqrt{37.44}}{2*2}=\frac{11.2+\sqrt{37.44}}{4}
$