(3x^2-15x)/(3x^2-16x+5)

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Solution for (3x^2-15x)/(3x^2-16x+5) equation:


D( x )

3*x^2-(16*x)+5 = 0

3*x^2-(16*x)+5 = 0

3*x^2-(16*x)+5 = 0

3*x^2-16*x+5 = 0

3*x^2-16*x+5 = 0

DELTA = (-16)^2-(3*4*5)

DELTA = 196

DELTA > 0

x = (196^(1/2)+16)/(2*3) or x = (16-196^(1/2))/(2*3)

x = 5 or x = 1/3

x in (-oo:1/3) U (1/3:5) U (5:+oo)

(3*x^2-(15*x))/(3*x^2-(16*x)+5) = 0

(3*x^2-15*x)/(3*x^2-16*x+5) = 0

3*x^2-15*x = 0

3*x*(x-5) = 0

x-5 = 0 // + 5

x = 5

3*x*(x-5) = 0

3*x^2-16*x+5 = 0

3*x^2-16*x+5 = 0

DELTA = (-16)^2-(3*4*5)

DELTA = 196

DELTA > 0

x = (196^(1/2)+16)/(2*3) or x = (16-196^(1/2))/(2*3)

x = 5 or x = 1/3

(x-1/3)*(x-5) = 0

(3*x*(x-5))/((x-1/3)*(x-5)) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 5}

x = 0

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