2x/x^2-7x+12

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Solution for 2x/x^2-7x+12 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(2*x)/(x^2)-(7*x)+12 = 0

(2*x)/(x^2)-7*x+12 = 0

2*x^-1-7*x^1+12*x^0 = 0

(12*x^1-7*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(12*x^1-7*x^2+2*x^0) = 0

x^1

12*x-7*x^2+2 = 0

12*x-7*x^2+2 = 0

DELTA = 12^2-(-7*2*4)

DELTA = 200

DELTA > 0

x = (200^(1/2)-12)/(-7*2) or x = (-200^(1/2)-12)/(-7*2)

x = (10*2^(1/2)-12)/(-14) or x = (-10*2^(1/2)-12)/(-14)

x in { (10*2^(1/2)-12)/(-14), (-10*2^(1/2)-12)/(-14)}

x in { (10*2^(1/2)-12)/(-14), (-10*2^(1/2)-12)/(-14) }

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