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

The __________is that part of the total capacity of our body’s organs that we do not normally need to use.
Does the heroic code expressed in beowulf conflict with a christian sensibility?
Where would you find every escrow entry showing the running balance after each receipt or disbursement?
Ralph sold brownies for ​$0.27 a piece in order to earn money to buy baseball cards. If the cards cost ​$0.54 per​ pack, and if Ralph had no money left over aft
Given g(x) = 2x2 − 9x − 18 and f(x) = x − 6, identify (g/f)(x).
why do some humans gravitate to certain spiritual belief
How did the free enterprise system affect factory owners? -U.S History
Simplify the expression
The most common listening problem is
Which best explains why virus are not classified by Linnaean taxonomy ? A.virus do not contain any genetic information or cell wall B.virus share many characte