((4)/(7x))=((1+6x)/(9))

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Solution for ((4)/(7x))=((1+6x)/(9)) equation: 


D( x )

7*x = 0

7*x = 0

7*x = 0

7*x = 0 // : 7

x = 0

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

4/(7*x) = (6*x+1)/9 // - (6*x+1)/9

4/(7*x)-((6*x+1)/9) = 0

(-1*(6*x+1))/9+4/(7*x) = 0

(-1*7*x*(6*x+1))/(7*9*x)+(4*9)/(7*9*x) = 0

4*9-1*7*x*(6*x+1) = 0

36-42*x^2-7*x = 0

36-42*x^2-7*x = 0

36-42*x^2-7*x = 0

DELTA = (-7)^2-(-42*4*36)

DELTA = 6097

DELTA > 0

x = (6097^(1/2)+7)/(-42*2) or x = (7-6097^(1/2))/(-42*2)

x = (6097^(1/2)+7)/(-84) or x = (7-6097^(1/2))/(-84)

(x-((6097^(1/2)+7)/(-84)))*(x-((7-6097^(1/2))/(-84))) = 0

((x-((6097^(1/2)+7)/(-84)))*(x-((7-6097^(1/2))/(-84))))/(7*9*x) = 0

((x-((6097^(1/2)+7)/(-84)))*(x-((7-6097^(1/2))/(-84))))/(7*9*x) = 0 // * 7*9*x

(x-((6097^(1/2)+7)/(-84)))*(x-((7-6097^(1/2))/(-84))) = 0

( x-((6097^(1/2)+7)/(-84)) )

x-((6097^(1/2)+7)/(-84)) = 0 // + (6097^(1/2)+7)/(-84)

x = (6097^(1/2)+7)/(-84)

( x-((7-6097^(1/2))/(-84)) )

x-((7-6097^(1/2))/(-84)) = 0 // + (7-6097^(1/2))/(-84)

x = (7-6097^(1/2))/(-84)

x in { (6097^(1/2)+7)/(-84), (7-6097^(1/2))/(-84) }

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