21/x=2x+1

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Solution for 21/x=2x+1 equation: 


D( x )

x = 0

x = 0

x = 0

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

21/x = 2*x+1 // - 2*x+1

21/x-(2*x)-1 = 0

21/x-2*x-1 = 0

21*x^-1-2*x^1-1*x^0 = 0

(21*x^0-2*x^2-1*x^1)/(x^1) = 0 // * x^2

x^1*(21*x^0-2*x^2-1*x^1) = 0

x^1

21-2*x^2-x = 0

21-2*x^2-x = 0

DELTA = (-1)^2-(-2*4*21)

DELTA = 169

DELTA > 0

x = (169^(1/2)+1)/(-2*2) or x = (1-169^(1/2))/(-2*2)

x = -7/2 or x = 3

x in { -7/2, 3} 

x in { -7/2, 3 }

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