kaylahill14oyr4nf kaylahill14oyr4nf
  • 01-11-2017
  • Mathematics
contestada

the product of two consecutive even integers is 10 less than 5 times their sum. find the two integers

Respuesta :

ChaosAgent
ChaosAgent ChaosAgent
  • 01-11-2017
The integers are 3 and 5
Answer Link
MathisLif3
MathisLif3 MathisLif3
  • 01-11-2017
let a=2k and b=(2k+2) such that ab=5(a+b)-10
That is, 2k(2k+2)=(10k+10k+10)-10.
Thus, 4k^2+4k=20k.
4k^2-16k=0
4k(k-4)=0
k=0,4
That implies 4×6=5(4+6)-10 or
0×2=5(0+2)-10
I believe 0 and 2 are the only values which work.
Answer Link

Otras preguntas

Why did the americans go to Oregon during manifest destiny and why did the mormon go to utah??
What is the volume of a rectangular box that has base area of 75 square inches and a height of 20 inches
If (x − 2)^2=49, then x could be ?
How many quarts in 24 pints?
use the function rule, y= 2x+5, to find the values of y when x =1,2,3,4. write the answers as ordered pairs that would be used to graph the function. show your
What is Germany in German?
How do you think the people conquered by the Romans felt about their new rulers
use the function rule, y= 2x+5, to find the values of y when x =1,2,3,4. write the answers as ordered pairs that would be used to graph the function. show your
What does compris mean in French ???
Why might nations join together to remove trade barriers?