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

How do gene interactions affect gene expression?
OSHA standards appear in the ___________ and are then broken down into ____________.
how can a region be defined geographically
What is the difference between formal and contextual criticism?
In 100 words or less, explain how Sanger Rainsford’s epiphany is caused by the external conflicts in “The Most Dangerous Game.”
State whether the surface of the water in an aquarium is best modeled by a point, a line, a ray, or a plane.
Solve for x by completing the square: x^2+10x+9=0 x = 1, x = 9 x = - 1, x = - 9 x = 11, x = - 21 x = - 11, x = 21
how do you do middle school geometry all of them
Factors of -96 that add up to -10
Why does the Sun appear larger and brighter as seen from Earth than the other stars in the chart? Use the table to help you answer the question A) It is hott