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

We always started with the easy [words] I had already learned, and which I wrote down and read from the slate. The new ones I had to listen to first, putting th
“Anda despacio;te podrías caer” ¿está modificando un verbo, un adjetivo o un adverbio?
find the measure of angle A
Confused on this help plss
When Royal looked out at the Walmart parking lot, he noticed that for every 1 Lamborghini, there were 5 other types of vehicles. If there are 174 vehicles in th
1. After 2 hours, the displacement of a car is 150 km north. The initial displacement of the car is 0. What is the average velocity of the car​
A drag racer, starting from rest, speeds up for 402 m with an acceleration of +17.0 m/s2. A parachute then opens, slowing the car down with an acceleration of –
Regulation of cellular metabolism and energy production is the most important function of vitamin a) C. b) K. c) B. d) D.
what is the value of k
John's temperature is 98.6 degrees. Positive or Negative