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

which argument best explains the charge of an atomic nucleus
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
which flight was the first to strike the world Trade Center?
IF YOU COULD FIND ONE THING, BESIDES MONEY, IN YOUR FAMILY ATTIC WHAT WOULD YOU WANT TO DISCOVER? WHY?
The two triangles in the sketch below are congruent. Which sequence could transform triangle ABC to triangle DEF? A translation 7 units down followed by a rotat
Students learned that objects can exert forces on other objects without touching. Which three investigations will provide evidence what they have learned. a mea
What is the slope of the linear function represented in the table? -7 -1/7 1/7 7
What decisions did the Second Continental Congress make?
Identify all the Geometric Sequence(s) from the options below- 1, 1, 2, 3, 5, 8... 1, 2, 4, 8, 16... 4, 16, 36, 64... 81, 27, 9, 3... -1,3,-9, 27... 1, 2, 6, 24
Describe two practical uses for an artificial chemical which behaves like chlorophyll.​