2(x)^(-1/2)=(4(7)^(1/2)-4)/6

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Solution for 2(x)^(-1/2)=(4(7)^(1/2)-4)/6 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

2*x^(-1/2) = (4*7^(1/2)-4)/6 // - (4*7^(1/2)-4)/6

2*x^(-1/2)-((4*7^(1/2)-4)/6) = 0

2*x^(-1/2) = (4*7^(1/2)-4)/6 // : 2

x^(-1/2) = (4*7^(1/2)-4)/12

-1/2 < 0

1/(x^(1/2)) = (4*7^(1/2)-4)/12 // * x^(1/2)

1 = ((4*7^(1/2)-4)/12)*x^(1/2) // : (4*7^(1/2)-4)/12

12*(4*7^(1/2)-4)^-1 = x^(1/2)

x^(1/2) = 12*(4*7^(1/2)-4)^-1 // ^ 2

x = 144*(4*7^(1/2)-4)^-2

x = 144*(4*7^(1/2)-4)^-2

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