(1/4)x-2x^(1/2)-15=0

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Solution for (1/4)x-2x^(1/2)-15=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

(1/4)*x-(2*x^(1/2))-15 = 0

(1/4)*x-2*x^(1/2)-15 = 0

1/4*x-2*x^(1/2)-15 = 0

t_1 = x^(1/2)

1/4*t_1^2-2*t_1^1-15 = 0

1/4*t_1^2-2*t_1-15 = 0

DELTA = (-2)^2-(-15*1/4*4)

DELTA = 19

DELTA > 0

t_1 = (19^(1/2)+2)/(1/4*2) or t_1 = (2-19^(1/2))/(1/4*2)

t_1 = 2*(19^(1/2)+2) or t_1 = 2*(2-19^(1/2))

t_1 = 2*(2-19^(1/2))

x^(1/2)-(2*(2-19^(1/2))) = 0

x^(1/2)-2*(2-19^(1/2)) = 0

1*x^(1/2) = -(-2*(2-19^(1/2))) // : 1

x^(1/2) = 2*(2-19^(1/2))

( 2*(2-19^(1/2)) < 0 i 1/2 in (0:1) ) => x należy do O

t_1 = 2*(19^(1/2)+2)

x^(1/2)-(2*(19^(1/2)+2)) = 0

x^(1/2)-2*(19^(1/2)+2) = 0

1*x^(1/2) = -(-2*(19^(1/2)+2)) // : 1

x^(1/2) = 2*(19^(1/2)+2)

x^(1/2) = 2*(19^(1/2)+2) // ^ 2

x = 4*(19^(1/2)+2)^2

x = 4*(19^(1/2)+2)^2

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