(x^2-6x)^1/42

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Solution for (x^2-6x)^1/42 equation: 


x in (-oo:+oo)

((x^2-(6*x))^1)/4 < 2 // - 2

((x^2-(6*x))^1)/4-2 < 0

(x^2-6*x)/4-2 < 0

(x^2-6*x)/4+(-2*4)/4 < 0

x^2-6*x-2*4 < 0

x^2-6*x-8 < 0

x^2-6*x-8 = 0

x^2-6*x-8 = 0

DELTA = (-6)^2-(-8*1*4)

DELTA = 68

DELTA > 0

x = (68^(1/2)+6)/(1*2) or x = (6-68^(1/2))/(1*2)

x = (2*17^(1/2)+6)/2 or x = (6-2*17^(1/2))/2

(x-((6-2*17^(1/2))/2))*(x-((2*17^(1/2)+6)/2)) = 0

((x-((6-2*17^(1/2))/2))*(x-((2*17^(1/2)+6)/2)))/4 < 0

((x-((6-2*17^(1/2))/2))*(x-((2*17^(1/2)+6)/2)))/4 < 0 // * 4^2

4*(x-((6-2*17^(1/2))/2))*(x-((2*17^(1/2)+6)/2)) < 0

( 4 )

4 < 0

x belongs to the empty set

( x-((2*17^(1/2)+6)/2) )

x-((2*17^(1/2)+6)/2) < 0 // + (2*17^(1/2)+6)/2

x < (2*17^(1/2)+6)/2

( x-((6-2*17^(1/2))/2) )

x-((6-2*17^(1/2))/2) < 0 // + (6-2*17^(1/2))/2

x < (6-2*17^(1/2))/2

	(-oo:(6-2*17^(1/2))/2)	((6-2*17^(1/2))/2:(2*17^(1/2)+6)/2)	((2*17^(1/2)+6)/2:+oo)
4	+	+	+
x-((2*17^(1/2)+6)/2)	-	-	+
x-((6-2*17^(1/2))/2)	-	+	+


x in ((6-2*17^(1/2))/2:(2*17^(1/2)+6)/2)

((6-2*17^(1/2))/2:(2*17^(1/2)+6)/2)

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