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0.9=4x+1/x+1
We move all terms to the left:
0.9-(4x+1/x+1)=0
Domain of the equation: x+1)!=0We get rid of parentheses
x∈R
-4x-1/x-1+0.9=0
We multiply all the terms by the denominator
-4x*x-1*x+(0.9)*x-1=0
We add all the numbers together, and all the variables
-1x-4x*x+(0.9)*x-1=0
We multiply parentheses
-1x-4x*x+0.9x-1=0
Wy multiply elements
-4x^2-1x+0.9x-1=0
We add all the numbers together, and all the variables
-4x^2-0.1x-1=0
a = -4; b = -0.1; c = -1;
Δ = b2-4ac
Δ = -0.12-4·(-4)·(-1)
Δ = -15.99
Delta is less than zero, so there is no solution for the equation
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