p^(1/2)-4p^(1/4)-5

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Solution for p^(1/2)-4p^(1/4)-5 equation: 


D( p )

p < 0

p < 0

p in <0:+oo)

p^(1/2)-(4*p^(1/4))-5 = 0

p^(1/2)-4*p^(1/4)-5 = 0

t_1 = p^(1/4)

1*t_1^2-4*t_1^1-5 = 0

t_1^2-4*t_1-5 = 0

DELTA = (-4)^2-(-5*1*4)

DELTA = 36

DELTA > 0

t_1 = (36^(1/2)+4)/(1*2) or t_1 = (4-36^(1/2))/(1*2)

t_1 = 5 or t_1 = -1

t_1 = -1

p^(1/4)+1 = 0

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

p^(1/4) = -1

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

t_1 = 5

p^(1/4)-5 = 0

1*p^(1/4) = 5 // : 1

p^(1/4) = 5

p^(1/4) = 5 // ^ 4

p = 625

p = 625

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