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

a giraffe can run 46.93 feet per second how many feet can it run in 1.8 seconds with out cross multiplying justify your awnser
Give a counter example to this statement. The quotient of two fractions between 0 and 1 is always a whole number.
Name the two lines and the transversal that form each pair of angles
Is Glass a good conductor of heat? is Metal a good conductor of heat? is wood a good conductor of heat
There are 21 males in the algebra 1 class. If 75% is female, how many students are there in the class?
Give a counter example to this statement. The quotient of two fractions between 0 and 1 is always a whole number.
what's bigger 60% of 90 or half of 100?
Why can't plants catch a cold?
how are plains formed
What is .368 written in expanded form?