p^(1/2)-2p^(1/4)-8=0

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Solution for p^(1/2)-2p^(1/4)-8=0 equation: 


D( p )

p < 0

p < 0

p in <0:+oo)

p^(1/2)-(2*p^(1/4))-8 = 0

p^(1/2)-2*p^(1/4)-8 = 0

t_1 = p^(1/4)

1*t_1^2-2*t_1^1-8 = 0

t_1^2-2*t_1-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

t_1 = (36^(1/2)+2)/(1*2) or t_1 = (2-36^(1/2))/(1*2)

t_1 = 4 or t_1 = -2

t_1 = -2

p^(1/4)+2 = 0

1*p^(1/4) = -2 // : 1

p^(1/4) = -2

( -2 < 0 i 1/4 in (0:1) ) => p należy do O

t_1 = 4

p^(1/4)-4 = 0

1*p^(1/4) = 4 // : 1

p^(1/4) = 4

p^(1/4) = 4 // ^ 4

p = 256

p = 256

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