4q-2-24/q^2=0

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Solution for 4q-2-24/q^2=0 equation:


D( q )

q^2 = 0

q^2 = 0

q^2 = 0

1*q^2 = 0 // : 1

q^2 = 0

q = 0

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

4*q-(24/(q^2))-2 = 0

4*q-24*q^-2-2 = 0

4*q^1-24*q^-2-2*q^0 = 0

(4*q^3-2*q^2-24*q^0)/(q^2) = 0 // * q^4

q^2*(4*q^3-2*q^2-24*q^0) = 0

q^2

4*q^3-2*q^2-24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

q = 1

4*q^3-2*q^2-24 = -22

1

-1

q = -1

4*q^3-2*q^2-24 = -30

-1

2

q = 2

4*q^3-2*q^2-24 = 0

2

q-2

4*q^2+6*q+12

4*q^3-2*q^2-24

q-2

8*q^2-4*q^3

6*q^2-24

12*q-6*q^2

12*q-24

24-12*q

0

4*q^2+6*q+12 = 0

DELTA = 6^2-(4*4*12)

DELTA = -156

DELTA < 0

q in { 2}

q = 2

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