6x-7x^(1/2)-3

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Solution for 6x-7x^(1/2)-3 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

6*x-(7*x^(1/2))-3 = 0

6*x-7*x^(1/2)-3 = 0

t_1 = x^(1/2)

6*t_1^2-7*t_1^1-3 = 0

6*t_1^2-7*t_1-3 = 0

DELTA = (-7)^2-(-3*4*6)

DELTA = 121

DELTA > 0

t_1 = (121^(1/2)+7)/(2*6) or t_1 = (7-121^(1/2))/(2*6)

t_1 = 3/2 or t_1 = -1/3

t_1 = -1/3

x^(1/2)+1/3 = 0

1*x^(1/2) = -1/3 // : 1

x^(1/2) = -1/3

( -1/3 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 3/2

x^(1/2)-3/2 = 0

1*x^(1/2) = 3/2 // : 1

x^(1/2) = 3/2

x^(1/2) = 3/2 // ^ 2

x = 9/4

x = 9/4

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