(2x)^(1/2)-(9x)^(1/4)+6=0

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Solution for (2x)^(1/2)-(9x)^(1/4)+6=0 equation:


D( x )

2*x < 0

9*x < 0

2*x < 0

2*x < 0

2*x+0 < 0 // - 0

2*x < 0 // : 2

x < 0/2

x < 0

9*x < 0

9*x < 0

9*x+0 < 0 // - 0

9*x < 0 // : 9

x < 0/9

x < 0

x in <0:+oo)

(2*x)^(1/2)-(9*x)^(1/4)+6 = 0

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

t_1 = x^(1/4)

2^(1/2)*t_1^2-1*t_1^1+6 = 0

2^(1/2)*t_1^2-t_1+6 = 0

DELTA = (-1)^2-(4*6*2^(1/2))

DELTA = 1-24*2^(1/2)

DELTA = -32.94112544

DELTA < 0

x belongs to the empty set

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