4z^(1/2)-4z=3/4

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


D( z )

z < 0

z < 0

z in <0:+oo)

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

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

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

t_1 = z^(1/2)

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

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

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

DELTA = 4

DELTA > 0

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

t_1 = 1/4 or t_1 = 3/4

t_1 = 1/4

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

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

z^(1/2) = 1/4

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

z = 1/16

t_1 = 3/4

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

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

z^(1/2) = 3/4

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

z = 9/16

z in { 1/16, 9/16 }

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