4a-32/a^2=0

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Solution for 4a-32/a^2=0 equation:


D( a )

a^2 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

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

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

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

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

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

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

a^2

4*a^3-32 = 0

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

1

a = 1

4*a^3-32 = -28

1

-1

a = -1

4*a^3-32 = -36

-1

2

a = 2

4*a^3-32 = 0

2

a-2

4*a^2+8*a+16

4*a^3-32

a-2

8*a^2-4*a^3

8*a^2-32

16*a-8*a^2

16*a-32

32-16*a

0

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

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

DELTA = -192

DELTA < 0

a in { 2}

a = 2

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