4/x-7/4=x/8

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Solution for 4/x-7/4=x/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-(7/4) = x/8 // - x/8

4/x-(x/8)-(7/4) = 0

4/x-(x/8)-7/4 = 0

4*x^-1-1/8*x^1-7/4*x^0 = 0

(4*x^0-1/8*x^2-7/4*x^1)/(x^1) = 0 // * x^2

x^1*(4*x^0-1/8*x^2-7/4*x^1) = 0

x^1

(-1/8)*x^2+(-7/4)*x+4 = 0

(-1/8)*x^2+(-7/4)*x+4 = 0

DELTA = (-7/4)^2-(4*4*(-1/8))

DELTA = 81/16

DELTA > 0

x = ((81/16)^(1/2)-(-7/4))/(2*(-1/8)) or x = (-(-7/4)-(81/16)^(1/2))/(2*(-1/8))

x = -16 or x = 2

x in { -16, 2} 

x in { -16, 2 }

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