1.4=(1-4x+4x^2)/x

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Solution for 1.4=(1-4x+4x^2)/x equation:



1.4=(1-4x+4x^2)/x
We move all terms to the left:
1.4-((1-4x+4x^2)/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We multiply all the terms by the denominator
-((1-4x+4x^2)+(1.4)*x)=0
We calculate terms in parentheses: -((1-4x+4x^2)+(1.4)*x), so:
(1-4x+4x^2)+(1.4)*x
We multiply parentheses
(1-4x+4x^2)+1.4x
We get rid of parentheses
4x^2-4x+1.4x+1
We add all the numbers together, and all the variables
4x^2-2.6x+1
Back to the equation:
-(4x^2-2.6x+1)
We get rid of parentheses
-4x^2+2.6x-1=0
a = -4; b = 2.6; c = -1;
Δ = b2-4ac
Δ = 2.62-4·(-4)·(-1)
Δ = -9.24
Delta is less than zero, so there is no solution for the equation

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