0=(x^(9/2))-(8x^2)

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Solution for 0=(x^(9/2))-(8x^2) equation:


D( x )

x < 0

x < 0

x in <0:+oo)

0 = x^(9/2)-(8*x^2) // - x^(9/2)-(8*x^2)

8*x^2-x^(9/2)+0 = 0

8*x^2-x^(9/2) = 0

8*x^2-x^(9/2) = 0

x^2*(8-x^(5/2)) = 0

-1*x^(5/2) = -8 // : -1

x^(5/2) = 8

x^(5/2) = 8 // ^ 2

x^5 = 64 // ^ 1/5

x = 2*2^(1/5)

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 2*2^(1/5), 0 }

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