(49x-x^3)/(7x^2-x^3)

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Solution for (49x-x^3)/(7x^2-x^3) equation:


D( x )

7*x^2-x^3 = 0

7*x^2-x^3 = 0

7*x^2-x^3 = 0

7*x^2-x^3 = 0

x^2*(7-x) = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:7) U (7:+oo)

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

49*x-x^3 = 0

x*(49-x^2) = 0

-1*x^2 = -49 // : -1

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x*(x-7)*(x+7) = 0

7*x^2-x^3 = 0

x^2*(7-x) = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

x^2*(x-7) = 0

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

( x+7 )

x+7 = 0 // - 7

x = -7

( x-7 )

x-7 = 0 // + 7

x = 7

( x )

x = 0

x in { 7}

x in { 0}

x = -7

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