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

S. Which of the following have been functions of the Hagia Sophia? (Choose all that apply) A Jewish Synagogue LB. Christian Cathedral Lc Museum 10. Islamic Mosq
what do you call the corrosive buildup of black powder residue?
2. Determine mZ1 759 1249 a mZ1 = 158° b mZ1 = 180° c mZ1 = 172 d mZ1 = 161°
Read and look at this graphic from Citizenship. What is the author's most likely purpose for including the man "shaping" an issue? to analyze a topic for reade
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 65 kilometers per hour. The eastbound train t
A rescue plane travels horizontally at 30.0m/s 200.0m above the ground. it drops a supply package.
*ANSWER ALL 3 QUESTIONS*
An advertisement for a food delivery subscription service offers a free trial for new customers for the first two weeks of the service. Customers have the optio
does having an autoimmune disease mean immunocompromised
$25,000 is invested for 5 years with an APR of 3% and daily compounding.