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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x-(48/x) < -8 // + 8
x-(48/x)+8 < 0
x-48*x^-1+8 < 0
x-48*x^-1+8 = 0
1*x^1-48*x^-1+8*x^0 = 0
(1*x^2+8*x^1-48*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2+8*x^1-48*x^0) = 0
x^1
x^2+8*x-48 = 0
x^2+8*x-48 = 0
DELTA = 8^2-(-48*1*4)
DELTA = 256
DELTA > 0
x = (256^(1/2)-8)/(1*2) or x = (-256^(1/2)-8)/(1*2)
x = 4 or x = -12
x in { -12, 4}
(x+12)*(x-4) < 0
(-oo:-12) (-12:4) (4:+oo) x+12 - + + x-4 - - +
x in (-12:0) U (0:4)
(-12:0) U (0:4)
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