moalnamer
moalnamer moalnamer
  • 10-03-2018
  • Mathematics
contestada

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

For the rational equation x25x6x31 what is a valid value of x class=

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WilsonOoi
WilsonOoi WilsonOoi
  • 10-03-2018
the correct answer is -1.
Ver imagen WilsonOoi
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wagonbelleville wagonbelleville
  • 01-02-2019

Answer:

B. -1

Step-by-step explanation:

We have the equation, [tex]\frac{x^{2}+5x+6}{x+3}=1[/tex].

Now, factorizing the polynomial [tex]x^{2}+5x+6[/tex], we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex]

i.e. [tex]\frac{(x+3)(x+2)}{x+3}=1[/tex]

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.

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