(6/x-9)(9/7x-4)

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Solution for (6/x-9)(9/7x-4) equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x-9 < (9/7)*x-4 // - (9/7)*x-4

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

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

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

6*x^-1-9/7*x^1-5*x^0 = 0

(6*x^0-9/7*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(6*x^0-9/7*x^2-5*x^1) = 0

x^1

(-9/7)*x^2-5*x+6 = 0

(-9/7)*x^2-5*x+6 = 0

DELTA = (-5)^2-(4*6*(-9/7))

DELTA = 391/7

DELTA > 0

x = ((391/7)^(1/2)+5)/(2*(-9/7)) or x = (5-(391/7)^(1/2))/(2*(-9/7))

x = -7/18*((391/7)^(1/2)+5) or x = -7/18*(5-(391/7)^(1/2))

x in { -7/18*((391/7)^(1/2)+5), -7/18*(5-(391/7)^(1/2))} 

(x+7/18*((391/7)^(1/2)+5))*(x+7/18*(5-(391/7)^(1/2))) < 0

	(-oo:-7/18*((391/7)^(1/2)+5))	(-7/18*((391/7)^(1/2)+5):-7/18*(5-(391/7)^(1/2)))	(-7/18*(5-(391/7)^(1/2)):+oo)
x+7/18*((391/7)^(1/2)+5)	-	+	+
x+7/18*(5-(391/7)^(1/2))	-	-	+


x in (-7/18*((391/7)^(1/2)+5):0) U (0:-7/18*(5-(391/7)^(1/2)))

(-7/18*((391/7)^(1/2)+5):0) U (0:-7/18*(5-(391/7)^(1/2)))

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