G4IRoralaPo G4IRoralaPo
  • 22-02-2017
  • Mathematics
contestada

Find three consecutive multiples of 4 so that the product of the first and second number is 16 more than 5 times the third number

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 22-02-2017
multiplues of 4 are 4n where n is a natural number

they numbers are 4n,4(n+1), 4(n+2)

(4n)(4(n+1))=16+5(4(n+2))
expand
16n²+16n=16+20n+40
16n²+16n=56+20n
divide both sides by 4
4n²+4n=14+5n
minus 14+5n both sides
4n²-n-14=0
factor
(n-2)(4n+7)=0
set to zero
n-2=0
n=2

4n+7=0
4n=-7
n=-7/4, false, n has to be a natural number


n=2


so
4n=8
4(n+1)=12
4(n+2)=16

the numbers are 8,12,16
Answer Link

Otras preguntas

Congress is exercising its power under the “elastic clause” when it: A. Declares war on a foreign nation B. Establishes a post office in a community C. Authoriz
Why did medici support the arts
Emily has fixed monthly expenses that are taken directly out of her bank account. Emily wants to know how much money she must deposit in her account each month
First to awnser get brainliest A photographer wants to apply the design principles of space in his photograph. What will he MOST likely focus on? A. how light o
Why did both Thoreau and Martin Luther king jr. Engage in acts of civil disobedience?
Can someone please tell me how to subtract 1 3/8 by 3/4 Please help!
Question 1 of 10 If a historian wanted to determine whether iron tools could be found in the ruins of an ancient African city, which kind of expert should he co
8. Why does Mukharji use sarcasm and understatement to describe the people he encounters?
Help me with question please
I’m not sure how to work this out could someone help me please