ikang24601 ikang24601
  • 26-02-2020
  • Mathematics
contestada

Find the number of pairs (a,b) of integers such that
a+2/a+5=b/3

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 28-02-2020

Answer:

  6

Step-by-step explanation:

The expression can be rearranged to ...

  b = 3 -9/(a+5)

In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.

The attached table shows the values (a, b) = (x₁, f(x₁)).

Ver imagen sqdancefan
Answer Link

Otras preguntas

In 1945, the united states joined the newly created __________, an international organization formed to promote and maintain international peaceâ.
How many integers are there from 52 to 89 inclusive?
n which structure of the female reproductive system are eggs produced? cervix fallopian tube ovary uterus
what effect did the american offensive in the meuse argonne area have on ending world war 1
A motorboat approaches you head-on and sounds one short blast. how do you signal that you agree to let it pass on your port (left) side?
Conner tends to get worried when he goes to bed that he will miss the bus in the morning. What can he do to reduce his stress? Consider changing schools and sc
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
Which windows component can be used to display information such as weather forecasts?
Need help with math problem Multiply (3x – 7)(3x – 5) A. 9x 2 + 6x + 35 B. 9x 2 + 36x + 35 C. 9x 2 – 36x – 35 D. 9x 2 – 36x + 35
Which of these is the algebraic expression for "some number to the power of 4?" x4 4x 4x x + 4