x-12/x+20

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Solution for x-12/x+20 equation:


D( x )

x = 0

x = 0

x = 0

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

x-(12/x)+20 = 0

x-12*x^-1+20 = 0

1*x^1-12*x^-1+20*x^0 = 0

(1*x^2+20*x^1-12*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+20*x^1-12*x^0) = 0

x^1

x^2+20*x-12 = 0

x^2+20*x-12 = 0

DELTA = 20^2-(-12*1*4)

DELTA = 448

DELTA > 0

x = (448^(1/2)-20)/(1*2) or x = (-448^(1/2)-20)/(1*2)

x = (8*7^(1/2)-20)/2 or x = (-8*7^(1/2)-20)/2

x in { (-8*7^(1/2)-20)/2, (8*7^(1/2)-20)/2}

x in { (-8*7^(1/2)-20)/2, (8*7^(1/2)-20)/2 }

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