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

Eight more than a number is 22 word problem
34=−2t can u help me
Which statement best describes attributes of the New England colonies
Explain how to find a general rule for the product (a+b)^3.
What actions by the mexican government increased tensions between it and american colonists living in texas?
What does the shallows dead body most likely symbolize from the happy prince story A. Death and destruction B.friendship and generosity County. Humans vs. Ani
In 1961, two neurosurgeons were able to reduce seizure activity in epileptic patients by severing the corpus callosum. the neurosurgeons were:
a sip of wine is about 2.0 mL. If a bottle of Lafite Rothchild costs $278 and contains 24.5 fl ounces how much does just one sip cost?
The amount of energy required to heat water for a 10-minute shower (50 gallons) is 2.2125 kJ. How many calories is this?
When someone asks you to pass the salt at the dinner table, you are able to understand the request even if it is asked in a variety of different ways?