jessicamata140 jessicamata140
  • 08-04-2021
  • Mathematics
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3 Select the correct answer. 52 + 51 + 6 For the rational equation, 1 + 3 = 1 what is a valid value of x? ОА. B. -1 O C. 2 O D. 3 Reset Next​

3 Select the correct answer 52 51 6 For the rational equation 1 3 1 what is a valid value of x ОА B 1 O C 2 O D 3 Reset Next class=

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sqdancefan
sqdancefan sqdancefan
  • 08-04-2021

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

  [tex]\dfrac{x^2 +5x +6}{x+3}=1\qquad\text{given}\\\\\dfrac{(x+2)(x+3)}{x+3}=1\qquad\text{factor}\\\\x+2=1\qquad x\ne-3\qquad\text{cancel factors}\\\\x=-1\qquad\text{add $-2$}[/tex]

The only valid value of x is -1.

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