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

is michael jackson hot ?
I alway get this wrong idk how pls help
Given 43-x = 21, find the value of x
Is the phrase in bold a direct object, an indirect object, or neither? Akira usually cooks her dinner guests impressive meals. Impressive meals is in bold!
Twain uses this sentence to support which claim? h of 1 11 of ig she gives it a bone to be used in getting it into trouble, and she also furnishes it with a tri
WILL GIVE BRAINLIEST!! How do we calculate relative frequencies?
Help me on Romeo and Juliet
Criminalist Julie Sandel is investigating a series of threatening notes written in pencil and sent to a local politician. A suspect is arrested and Julie direct
Tay-Sachs disease is a rare inherited disorder that progressively destroys nerve cells in the brain and spinal cord. The allele for having Tay-Sachs is recessiv
Please help I’ll give you guys brainiest! Thank youuuuuuu :))