8/(x-2)+8(x+2)=3

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Solution for 8/(x-2)+8(x+2)=3 equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

8/(x-2)+8*(x+2) = 3 // - 3

8/(x-2)+8*(x+2)-3 = 0

8/(x-2)+(8*(x+2)*(x-2))/(x-2)+(-3*(x-2))/(x-2) = 0

8*(x+2)*(x-2)-3*(x-2)+8 = 0

8*x^2-3*x-24+6 = 0

8*x^2-3*x-18 = 0

8*x^2-3*x-18 = 0

8*x^2-3*x-18 = 0

DELTA = (-3)^2-(-18*4*8)

DELTA = 585

DELTA > 0

x = (585^(1/2)+3)/(2*8) or x = (3-585^(1/2))/(2*8)

x = (3*65^(1/2)+3)/16 or x = (3-3*65^(1/2))/16

(x-((3-3*65^(1/2))/16))*(x-((3*65^(1/2)+3)/16)) = 0

((x-((3-3*65^(1/2))/16))*(x-((3*65^(1/2)+3)/16)))/(x-2) = 0

((x-((3-3*65^(1/2))/16))*(x-((3*65^(1/2)+3)/16)))/(x-2) = 0 // * x-2

(x-((3-3*65^(1/2))/16))*(x-((3*65^(1/2)+3)/16)) = 0

( x-((3*65^(1/2)+3)/16) )

x-((3*65^(1/2)+3)/16) = 0 // + (3*65^(1/2)+3)/16

x = (3*65^(1/2)+3)/16

( x-((3-3*65^(1/2))/16) )

x-((3-3*65^(1/2))/16) = 0 // + (3-3*65^(1/2))/16

x = (3-3*65^(1/2))/16

x in { (3*65^(1/2)+3)/16, (3-3*65^(1/2))/16 }

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