0=T^(3/4)-2T^(1/4)

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Solution for 0=T^(3/4)-2T^(1/4) equation:


D( T )

T < 0

T < 0

T in <0:+oo)

0 = T^(3/4)-(2*T^(1/4)) // - T^(3/4)-(2*T^(1/4))

2*T^(1/4)-T^(3/4)+0 = 0

2*T^(1/4)-T^(3/4) = 0

t_1 = T^(1/4)

2*t_1^1-1*t_1^3 = 0

2*t_1-t_1^3 = 0

t_1*(2-t_1^2) = 0

-1*t_1^2 = -2 // : -1

t_1^2 = 2

t_1^2 = 2 // ^ 1/2

abs(t_1) = 2^(1/2)

t_1 = 2^(1/2) or t_1 = -2^(1/2)

t_1 = 0

t_1 = 0

t_1 = 2^(1/2)

T^(1/4)-2^(1/2) = 0

1*T^(1/4) = 2^(1/2) // : 1

T^(1/4) = 2^(1/2)

T^(1/4) = 2^(1/2) // ^ 4

T = 4

t_1 = -2^(1/2)

T^(1/4)+2^(1/2) = 0

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

T^(1/4) = -2^(1/2)

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

t_1 = 0

T^(1/4)+0 = 0

T^(1/4) = 0

1*T^(1/4) = 0 // : 1

T^(1/4) = 0

T = 0

T in { 4, 0 }

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