10x-21=(10/x)

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Solution for 10x-21=(10/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

10*x-21 = 10/x // - 10/x

10*x-(10/x)-21 = 0

10*x-10*x^-1-21 = 0

10*x^1-10*x^-1-21*x^0 = 0

(10*x^2-21*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-21*x^1-10*x^0) = 0

x^1

10*x^2-21*x-10 = 0

10*x^2-21*x-10 = 0

DELTA = (-21)^2-(-10*4*10)

DELTA = 841

DELTA > 0

x = (841^(1/2)+21)/(2*10) or x = (21-841^(1/2))/(2*10)

x = 5/2 or x = -2/5

x in { -2/5, 5/2} 

x in { -2/5, 5/2 }

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