(20b^4-24b^2)/(4b^2)

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Solution for (20b^4-24b^2)/(4b^2) equation:


D( b )

4*b^2 = 0

4*b^2 = 0

4*b^2 = 0

4*b^2 = 0 // : 4

b^2 = 0

b = 0

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

(20*b^4-(24*b^2))/(4*b^2) = 0

(20*b^4-24*b^2)/(4*b^2) = 0

20*b^4-24*b^2 = 0

4*b^2*(5*b^2-6) = 0

5*b^2 = 6 // : 5

b^2 = 6/5

b^2 = 6/5 // ^ 1/2

abs(b) = (6/5)^(1/2)

b = (6/5)^(1/2) or b = -(6/5)^(1/2)

4*b^2*(b-(6/5)^(1/2))*(b+(6/5)^(1/2)) = 0

(b-(6/5)^(1/2))*(b+(6/5)^(1/2)) = 0

( b+(6/5)^(1/2) )

b+(6/5)^(1/2) = 0 // - (6/5)^(1/2)

b = -(6/5)^(1/2)

( b-(6/5)^(1/2) )

b-(6/5)^(1/2) = 0 // + (6/5)^(1/2)

b = (6/5)^(1/2)

b in { -(6/5)^(1/2), (6/5)^(1/2) }

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