6x+5x^(1/2)=56

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Solution for 6x+5x^(1/2)=56 equation: 


D( x )

x < 0

x < 0

x in <0:+oo)

6*x+5*x^(1/2) = 56 // - 56

6*x+5*x^(1/2)-56 = 0

t_1 = x^(1/2)

6*t_1^2+5*t_1^1-56 = 0

6*t_1^2+5*t_1-56 = 0

DELTA = 5^2-(-56*4*6)

DELTA = 1369

DELTA > 0

t_1 = (1369^(1/2)-5)/(2*6) or t_1 = (-1369^(1/2)-5)/(2*6)

t_1 = 8/3 or t_1 = -7/2

t_1 = -7/2

x^(1/2)+7/2 = 0

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

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

( -7/2 < 0 i 1/2 in (0:1) ) => x naleu017Cy do O

t_1 = 8/3

x^(1/2)-8/3 = 0

1*x^(1/2) = 8/3 // : 1

x^(1/2) = 8/3

x^(1/2) = 8/3 // ^ 2

x = 64/9

x = 64/9

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