63x-194x^(1/2)+143=0

Solution for 63x-194x^(1/2)+143=0 equation:

D( x )

x < 0

x < 0

x in <0:+oo)

63*x-(194*x^(1/2))+143 = 0

63*x-194*x^(1/2)+143 = 0

t_1 = x^(1/2)

63*t_1^2-194*t_1^1+143 = 0

63*t_1^2-194*t_1+143 = 0

DELTA = (-194)^2-(4*63*143)

DELTA = 1600

DELTA > 0

t_1 = (1600^(1/2)+194)/(2*63) or t_1 = (194-1600^(1/2))/(2*63)

t_1 = 13/7 or t_1 = 11/9

t_1 = 11/9

x^(1/2)-11/9 = 0

1*x^(1/2) = 11/9 // : 1

x^(1/2) = 11/9

x^(1/2) = 11/9 // ^ 2

x = 121/81

t_1 = 13/7

x^(1/2)-13/7 = 0

1*x^(1/2) = 13/7 // : 1

x^(1/2) = 13/7

x^(1/2) = 13/7 // ^ 2

x = 169/49

x in { 121/81, 169/49 }