1/4(600x-x^3)

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Solution for 1/4(600x-x^3) equation:


x in (-oo:+oo)

(1/4)*(600*x-x^3) = 0

1/4*(600*x-x^3) = 0

600*x-x^3 = 0

x*(600-x^2) = 0

-1*x^2 = -600 // : -1

x^2 = 600

x^2 = 600 // ^ 1/2

abs(x) = 10*6^(1/2)

x = 10*6^(1/2) or x = -(10*6^(1/2))

x*(x-10*6^(1/2))*(x+10*6^(1/2)) = 0

1/4*x*(x-10*6^(1/2))*(x+10*6^(1/2)) = 0

( x+10*6^(1/2) )

x+10*6^(1/2) = 0 // - 10*6^(1/2)

x = -(10*6^(1/2))

x = -10*6^(1/2)

( x-10*6^(1/2) )

x-10*6^(1/2) = 0 // + -10*6^(1/2)

x = -(-10*6^(1/2))

x = 10*6^(1/2)

( x )

x = 0

x in { -10*6^(1/2), 10*6^(1/2), 0 }

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