(3x^3-7x)/(x-1)

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Solution for (3x^3-7x)/(x-1) equation:


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(3*x^3-(7*x))/(x-1) = 0

(3*x^3-7*x)/(x-1) = 0

3*x^3-7*x = 0

x*(3*x^2-7) = 0

3*x^2 = 7 // : 3

x^2 = 7/3

x^2 = 7/3 // ^ 1/2

abs(x) = (7/3)^(1/2)

x = (7/3)^(1/2) or x = -(7/3)^(1/2)

x*(x-(7/3)^(1/2))*(x+(7/3)^(1/2)) = 0

(x*(x-(7/3)^(1/2))*(x+(7/3)^(1/2)))/(x-1) = 0

( x+(7/3)^(1/2) )

x+(7/3)^(1/2) = 0 // - (7/3)^(1/2)

x = -(7/3)^(1/2)

( x-(7/3)^(1/2) )

x-(7/3)^(1/2) = 0 // + (7/3)^(1/2)

x = (7/3)^(1/2)

( x )

x = 0

x in { -(7/3)^(1/2), (7/3)^(1/2), 0 }

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