63/x^2=4+x

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Solution for 63/x^2=4+x equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

63/(x^2) = x+4 // - x+4

63/(x^2)-x-4 = 0

63*x^-2-1*x^1-4*x^0 = 0

(63*x^0-1*x^3-4*x^2)/(x^2) = 0 // * x^4

x^2*(63*x^0-1*x^3-4*x^2) = 0

x^2

63-x^3-4*x^2 = 0

{ 1, -1, 3, -3, 7, -7, 9, -9, 21, -21, 63, -63 }

1

x = 1

63-x^3-4*x^2 = 58

1

-1

x = -1

63-x^3-4*x^2 = 60

-1

3

x = 3

63-x^3-4*x^2 = 0

3

x-3

-x^2-7*x-21

63-x^3-4*x^2

x-3

x^3-3*x^2

63-7*x^2

7*x^2-21*x

63-21*x

21*x-63

0

-x^2-7*x-21 = 0

DELTA = (-7)^2-(-21*(-1)*4)

DELTA = -35

DELTA < 0

x in { 3}

x = 3

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