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

I Will Mark Brainliest ! Please answer all questions as completely as possible showing all work needed. Also don’t forget to include your units density = mass
pa help po pls thank you​
What was the problem for creating a canal through Panama?
A train is traveling at a velocity of 75 km/hr it takes a train 5 hours to get to its destination how far did the train travel to get to its destination
modernization and globalization in social work
What types of problems are more common among people who do not have their finances under control?
Find the first four terms and the 47th terms of the sequence whose general term is an=(-1)n (n+1)​
-correct the verb work:he asked me (work) harder .- correct the verb hunt:I remember (hunt) birds when I was young.​
briefly outline the role of each of the above areas in combating the effects of the above confrontation Student Representative Council, National Student Financi
How have you being influencing others in your home school and community?