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

Use The Cruise Ship room price Table To Determine The Percentile Rank Of $6,962
help please, i don’t understand and i need to show work.
Find The Value of x to the nearest degree.
Solve for x. х G 9 3
What is the volume of a cylinder if the radius is 7cm and the height is 15.5cm?
Douglass says that the “dark night of slavery closed in on me.” What device from the poet’s toolbox is he using? (A type of figurative language) I need help...
Find the area of a circle having a circumference of 34pi Round to the nearest tenth. Use 3.14 for pi.
Is "like an oak among pine trees." a metaphor, idiom, simile, or personification?
A 50-ohm resistor in a 0.5 Amp circuit produces how much voltage drop?​
given the triangle select all the correct