8x/x2-11x+24

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Solution for 8x/x2-11x+24 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

(8*x)/(x^2)-(11*x)+24 = 0

(8*x)/(x^2)-11*x+24 = 0

8*x^-1-11*x^1+24*x^0 = 0

(24*x^1-11*x^2+8*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^1-11*x^2+8*x^0) = 0

x^1

24*x-11*x^2+8 = 0

24*x-11*x^2+8 = 0

DELTA = 24^2-(-11*4*8)

DELTA = 928

DELTA > 0

x = (928^(1/2)-24)/(-11*2) or x = (-928^(1/2)-24)/(-11*2)

x = (4*58^(1/2)-24)/(-22) or x = (-4*58^(1/2)-24)/(-22)

x in { (4*58^(1/2)-24)/(-22), (-4*58^(1/2)-24)/(-22)}

x in { (4*58^(1/2)-24)/(-22), (-4*58^(1/2)-24)/(-22) }

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