0.5=4x+1/x+1

Solution for 0.5=4x+1/x+1 equation:

0.5=4x+1/x+1

We move all terms to the left:

0.5-(4x+1/x+1)=0


Domain of the equation: x+1)!=0

x∈R


We get rid of parentheses

-4x-1/x-1+0.5=0

We multiply all the terms by the denominator


-4x*x-1*x+(0.5)*x-1=0

We add all the numbers together, and all the variables

-1x-4x*x+(0.5)*x-1=0

We multiply parentheses

-1x-4x*x+0.5x-1=0

Wy multiply elements

-4x^2-1x+0.5x-1=0

We add all the numbers together, and all the variables

-4x^2-0.5x-1=0

a = -4; b = -0.5; c = -1;
Δ = b2-4ac
Δ = -0.52-4·(-4)·(-1)
Δ = -15.75
Delta is less than zero, so there is no solution for the equation