4X-32/X^2=0

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Solution for 4X-32/X^2=0 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)

4*X-(32/(X^2)) = 0

4*X-32*X^-2 = 0

4*X^1-32*X^-2 = 0

(4*X^3-32*X^0)/(X^2) = 0 // * X^4

X^2*(4*X^3-32*X^0) = 0

X^2

4*X^3-32 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32 }

1

X = 1

4*X^3-32 = -28

1

-1

X = -1

4*X^3-32 = -36

-1

2

X = 2

4*X^3-32 = 0

2

X-2

4*X^2+8*X+16

4*X^3-32

X-2

8*X^2-4*X^3

8*X^2-32

16*X-8*X^2

16*X-32

32-16*X

0

4*X^2+8*X+16 = 0

DELTA = 8^2-(4*4*16)

DELTA = -192

DELTA < 0

X in { 2}

X = 2

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