7/x=9-2x

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Solution for 7/x=9-2x equation: 


D( x )

x = 0

x = 0

x = 0

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

7/x = 9-(2*x) // - 9-(2*x)

2*x+7/x-9 = 0

2*x^1+7*x^-1-9*x^0 = 0

(2*x^2-9*x^1+7*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-9*x^1+7*x^0) = 0

x^1

2*x^2-9*x+7 = 0

2*x^2-9*x+7 = 0

DELTA = (-9)^2-(2*4*7)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(2*2) or x = (9-25^(1/2))/(2*2)

x = 7/2 or x = 1

x in { 1, 7/2} 

x in { 1, 7/2 }

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