X+(1/2x)=17.97

Solution for X+(1/2x)=17.97 equation:

X+(1/2X)=17.97

We move all terms to the left:

X+(1/2X)-(17.97)=0


Domain of the equation: 2X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X+(+1/2X)-(17.97)=0

We add all the numbers together, and all the variables

X+(+1/2X)-17.97=0

We get rid of parentheses

X+1/2X-17.97=0

We multiply all the terms by the denominator


X*2X-(17.97)*2X+1=0

We multiply parentheses

X*2X-35.94X+1=0

Wy multiply elements

2X^2-35.94X+1=0

a = 2; b = -35.94; c = +1;
Δ = b2-4ac
Δ = -35.942-4·2·1
Δ = 1283.6836
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{-(-35.94)-\sqrt{1283.6836}}{2*2}=\frac{35.94-\sqrt{1283.6836}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35.94)+\sqrt{1283.6836}}{2*2}=\frac{35.94+\sqrt{1283.6836}}{4}
$