(3x^2-24x+18)/(x-7)

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Solution for (3x^2-24x+18)/(x-7) equation: 


D( x )

x-7 = 0

x-7 = 0

x-7 = 0

x-7 = 0 // + 7

x = 7

x in (-oo:7) U (7:+oo)

(3*x^2-(24*x)+18)/(x-7) = 0

(3*x^2-24*x+18)/(x-7) = 0

3*x^2-24*x+18 = 0

3*(x^2-8*x+6) = 0

x^2-8*x+6 = 0

DELTA = (-8)^2-(1*4*6)

DELTA = 40

DELTA > 0

x = (40^(1/2)+8)/(1*2) or x = (8-40^(1/2))/(1*2)

x = (2*10^(1/2)+8)/2 or x = (8-2*10^(1/2))/2

3*(x-((8-2*10^(1/2))/2))*(x-((2*10^(1/2)+8)/2)) = 0

(3*(x-((8-2*10^(1/2))/2))*(x-((2*10^(1/2)+8)/2)))/(x-7) = 0

( x-((2*10^(1/2)+8)/2) )

x-((2*10^(1/2)+8)/2) = 0 // + (2*10^(1/2)+8)/2

x = (2*10^(1/2)+8)/2

( x-((8-2*10^(1/2))/2) )

x-((8-2*10^(1/2))/2) = 0 // + (8-2*10^(1/2))/2

x = (8-2*10^(1/2))/2

x in { (2*10^(1/2)+8)/2, (8-2*10^(1/2))/2 }

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