56x-15=56/x

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Solution for 56x-15=56/x equation: 


D( x )

x = 0

x = 0

x = 0

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

56*x-15 = 56/x // - 56/x

56*x-(56/x)-15 = 0

56*x-56*x^-1-15 = 0

56*x^1-56*x^-1-15*x^0 = 0

(56*x^2-15*x^1-56*x^0)/(x^1) = 0 // * x^2

x^1*(56*x^2-15*x^1-56*x^0) = 0

x^1

56*x^2-15*x-56 = 0

56*x^2-15*x-56 = 0

DELTA = (-15)^2-(-56*4*56)

DELTA = 12769

DELTA > 0

x = (12769^(1/2)+15)/(2*56) or x = (15-12769^(1/2))/(2*56)

x = 8/7 or x = -7/8

x in { -7/8, 8/7} 

x in { -7/8, 8/7 }

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