(x^2-7x+10)/(x+3)

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Solution for (x^2-7x+10)/(x+3) equation: 


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:+oo)

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

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

x^2-7*x+10 = 0

x^2-7*x+10 = 0

DELTA = (-7)^2-(1*4*10)

DELTA = 9

DELTA > 0

x = (9^(1/2)+7)/(1*2) or x = (7-9^(1/2))/(1*2)

x = 5 or x = 2

(x-2)*(x-5) = 0

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

( x-2 )

x-2 = 0 // + 2

x = 2

( x-5 )

x-5 = 0 // + 5

x = 5

x in { 2, 5 }

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