64x^(1/2)=8x^2

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Solution for 64x^(1/2)=8x^2 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

64*x^(1/2) = 8*x^2 // - 8*x^2

64*x^(1/2)-(8*x^2) = 0

64*x^(1/2)-8*x^2 = 0

t_1 = x^(1/2)

64*t_1^1-8*t_1^4 = 0

64*t_1-8*t_1^4 = 0

8*t_1*(8-t_1^3) = 0

-1*t_1^3 = -8 // : -1

t_1^3 = 8

t_1^3 = 8 // ^ 1/3

t_1 = 2

8*t_1 = 0

8*t_1 = 0 // : 8

t_1 = 0

t_1 = 2

x^(1/2)-2 = 0

1*x^(1/2) = 2 // : 1

x^(1/2) = 2

x^(1/2) = 2 // ^ 2

x = 4

t_1 = 0

x^(1/2)+0 = 0

x^(1/2) = 0

1*x^(1/2) = 0 // : 1

x^(1/2) = 0

x = 0

x in { 4, 0 }

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