4x+25x^(1/2)-375=0

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Solution for 4x+25x^(1/2)-375=0 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

4*x+25*x^(1/2)-375 = 0

t_1 = x^(1/2)

4*t_1^2+25*t_1^1-375 = 0

4*t_1^2+25*t_1-375 = 0

DELTA = 25^2-(-375*4*4)

DELTA = 6625

DELTA > 0

t_1 = (6625^(1/2)-25)/(2*4) or t_1 = (-6625^(1/2)-25)/(2*4)

t_1 = (5*265^(1/2)-25)/8 or t_1 = (-5*265^(1/2)-25)/8

t_1 = (-5*265^(1/2)-25)/8

x^(1/2)-((-5*265^(1/2)-25)/8) = 0

1*x^(1/2) = (-5*265^(1/2)-25)/8 // : 1

x^(1/2) = (-5*265^(1/2)-25)/8

( (-5*265^(1/2)-25)/8 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = (5*265^(1/2)-25)/8

x^(1/2)-((5*265^(1/2)-25)/8) = 0

1*x^(1/2) = (5*265^(1/2)-25)/8 // : 1

x^(1/2) = (5*265^(1/2)-25)/8

x^(1/2) = (5*265^(1/2)-25)/8 // ^ 2

x = ((5*265^(1/2)-25)^2)/64

x = ((5*265^(1/2)-25)^2)/64

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