8x^2-8/x/8(x^2+8)/26x^2-31x

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Solution for 8x^2-8/x/8(x^2+8)/26x^2-31x equation: 


D( x )

x = 0

x = 0

x = 0

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

8*x^2-(x^2*((((8/x)/8)*(x^2+8))/26))-(31*x) = 0

(-1/26)*x*(x^2+8)+8*x^2-31*x = 0

8*x^2-1/26*x*(x^2+8)-31*x = 0

8*x^2-1/26*x*(x^2+8)-31*x = 0

8*x^2-1/26*x^3-4/13*x-31*x = 0

8*x^2-1/26*x^3-407/13*x = 0

8*x^2-1/26*x^3-407/13*x = 0

x*(8*x-1/26*x^2-407/13) = 0

8*x-1/26*x^2-407/13 = 0

DELTA = 8^2-(-407/13*(-1/26)*4)

DELTA = 10002/169

DELTA > 0

x = ((10002/169)^(1/2)-8)/(-1/26*2) or x = (-(10002/169)^(1/2)-8)/(-1/26*2)

x = -13*((10002/169)^(1/2)-8) or x = 13*((10002/169)^(1/2)+8)

x*(x+13*((10002/169)^(1/2)-8))*(x-13*((10002/169)^(1/2)+8)) = 0

x*(x+13*((10002/169)^(1/2)-8))*(x-13*((10002/169)^(1/2)+8)) = 0

( x+13*((10002/169)^(1/2)-8) )

x+13*((10002/169)^(1/2)-8) = 0 // - 13*((10002/169)^(1/2)-8)

x = -(13*((10002/169)^(1/2)-8))

x = -13*((10002/169)^(1/2)-8)

( x-13*((10002/169)^(1/2)+8) )

x-13*((10002/169)^(1/2)+8) = 0 // + -13*((10002/169)^(1/2)+8)

x = -(-13*((10002/169)^(1/2)+8))

x = 13*((10002/169)^(1/2)+8)

( x )

x = 0

x in { 0} 

x in { -13*((10002/169)^(1/2)-8), 13*((10002/169)^(1/2)+8) }

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