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

In which one of the following pairs of angles are the angles always equal to each other
The development of a shopping mall can split a natural habitat into smaller parts. this effect is known as
An object has a mass of 48g and a volume of 6cm cubed (like a little 3 above the m) Calculate the density of this object
Which is the healthiest strategy for coping with strong emotions?
The brain is made up of about ______ nerve cells.
Whats the difference between hetergeneous and homogeneous?
sarah owns a book store. she is planning to stock some books by a famous author. but she has a tight budget, and she is not sure whether to stock all the previo
Which sentence needs a semicolon added to be correct? A. (5) Water is not everywhere it's miles away. B. (3) If we want to water our yards or wash the dishes, w
According to president harry truman what is one problem when governments are controlled by the will of a minority?
The Fertile Crescent stretches across the top of which of the following deserts? The Saharan Desert The Nubian Desert The Persian Desert The Syrian Desert