8x-8/x*6x^2/9x-9=o

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Solution for 8x-8/x*6x^2/9x-9=o equation:


D( x )

x = 0

x = 0

x = 0

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

8*x-(((6*(8/x)*x^2)/9)*x)-9 = o // - o

8*x-o-(((6*(8/x)*x^2)/9)*x)-9 = 0

(-16/3)*x^2-o+8*x-9 = 0

8*x-o-16/3*x^2-9 = 0

DELTA = 8^2-(-16/3*4*(-o-9))

DELTA = 64-64/3*(o+9)

64-64/3*(o+9) = 0

64-64/3*(o+9) = 0

-64/3*o-128 = 0

-64/3*o-128 = 0

-64/3*o-128 = 0 // + 128

-64/3*o = 128 // : -64/3

o = 128/(-64/3)

o = -6

DELTA = 0 <=> t_1 = -6

x = -8/(-16/3*2) i o = -6

x = 3/4 i o = -6

( x = ((64-64/3*(o+9))^(1/2)-8)/(-16/3*2) or x = (-(64-64/3*(o+9))^(1/2)-8)/(-16/3*2) ) i o > -6

( x = -3/32*((64-64/3*(o+9))^(1/2)-8) or x = 3/32*((64-64/3*(o+9))^(1/2)+8) ) i o > -6

o+6 > 0

o+6 > 0 // - 6

o > -6

x in { 3/4, -3/32*((64-64/3*(o+9))^(1/2)-8), 3/32*((64-64/3*(o+9))^(1/2)+8) }

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