X+0.25/31x=0.5

Solution for X+0.25/31x=0.5 equation:

X+0.25/31X=0.5

We move all terms to the left:

X+0.25/31X-(0.5)=0


Domain of the equation: 31X!=0

X!=0/31

X!=0

X∈R


We add all the numbers together, and all the variables

X+0.25/31X-0.5=0

We multiply all the terms by the denominator


X*31X-(0.5)*31X+0.25=0

We multiply parentheses

X*31X-15.5X+0.25=0

Wy multiply elements

31X^2-15.5X+0.25=0

a = 31; b = -15.5; c = +0.25;
Δ = b2-4ac
Δ = -15.52-4·31·0.25
Δ = 209.25
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{-(-15.5)-\sqrt{209.25}}{2*31}=\frac{15.5-\sqrt{209.25}}{62}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15.5)+\sqrt{209.25}}{2*31}=\frac{15.5+\sqrt{209.25}}{62}
$