3t^(1/2)=4t

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Solution for 3t^(1/2)=4t equation: 


D( t )

t < 0

t < 0

t in <0:+oo)

3*t^(1/2) = 4*t // - 4*t

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

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

t_1 = t^(1/2)

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

3*t_1-4*t_1^2 = 0

DELTA = 3^2-(-4*0*4)

DELTA = 9

DELTA > 0

t_1 = (9^(1/2)-3)/(-4*2) or t_1 = (-9^(1/2)-3)/(-4*2)

t_1 = 0 or t_1 = 3/4

t_1 = 0

t^(1/2)+0 = 0

t^(1/2) = 0

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

t^(1/2) = 0

t = 0

t_1 = 3/4

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

1*t^(1/2) = 3/4 // : 1

t^(1/2) = 3/4

t^(1/2) = 3/4 // ^ 2

t = 9/16

t in { 0, 9/16 }

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