x-48/x-8

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Solution for x-48/x-8 equation:


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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