1/x=5x-4

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Solution for 1/x=5x-4 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1/x = 5*x-4 // - 5*x-4

1/x-(5*x)+4 = 0

1/x-5*x+4 = 0

1*x^-1-5*x^1+4*x^0 = 0

(4*x^1-5*x^2+1*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-5*x^2+1*x^0) = 0

x^1

4*x-5*x^2+1 = 0

4*x-5*x^2+1 = 0

DELTA = 4^2-(-5*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-4)/(-5*2) or x = (-36^(1/2)-4)/(-5*2)

x = -1/5 or x = 1

x in { -1/5, 1} 

x in { -1/5, 1 }

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