jrayne231
jrayne231 jrayne231
  • 03-08-2020
  • Mathematics
contestada

For the rational equation,[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex] , what is a valid value of x?

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 09-08-2020

Answer:

-3 or -1 is a valid value for x

Step-by-step explanation:

We start by cross multiplying;

So the expression becomes;

x^2 + 5x + 6 = 1(x + 3)

x^2 + 5x + 6 = x + 3

x^2 + 5x -x + 6-3 = 0

x^2 + 4x + 3 = 0

x^2 + x + 3x + 3 = 0

x(x + 1) + 3(x + 1) = 0

(x + 3)(x + 1) = 0

x + 3 = 0 or x + 1 = 0

x = -3 or x = -1

Answer Link

Otras preguntas

Type the correct answer in each box. Spell all words correctly. Read about what Mary does at the hospital to help protect herself and patients from infectious d
Which equation illustrates amphoterism
which phrase best describes the translation from the graph y=6x^2 to the graph of y=6 (x+1)^2?
a piece of baseboard is 2/3 yard long. Angela cuts the board into pieces that are 1/6 yard long. How many pieces are there
Which is true of Native Americans participation at the Fort Laramie treaty meeting? A) The leaders of the Native American tribes refused to sign the treaty B)T
What is the name of the primary river on the north china plain?
HELP ME PLEASE!........again
Which french city shown on the map changed back from germany to britain?
Infectious agents, such as viruses, bacteria, and fungi, can all
How is urbanization connected to environmental issues?