nataliem21 nataliem21
  • 17-05-2020
  • Mathematics
contestada

The difference of the squares of two positive consecutive even integers is 36

Respuesta :

osikbro
osikbro osikbro
  • 17-05-2020

Answer:

8 and 10

Step-by-step explanation:

Let's call the two numbers x and (x+2). According to the problem, you can set up the following equation:

[tex](x+2)^2-x^2=36[/tex]

Factoring:

[tex]x^2+4x+4-x^2=36\\4x+4=36\\4x=32\\x=8\\x+2=10[/tex]

Hope this helps!

Answer Link

Otras preguntas

What is the angle between the carbon-oxygen and carbon-nitrpgen bond in cyanate ion
What is the solution to this system of equations? X + 2y − z = 3 2x − y + 2z = 6 x − 3y + 3z = 4
I'm looking for a pencil. Busco un lápiz. Busco por un lápiz. Busco a un lápiz. Busco con un lápiz.
Daoism is an ancient Chinese philosophy that values A. The restoration of peace stability B. Meditation to reach enlightenment C. Family and community D. Harmon
Which is NOT a part of the MIDDLE Ear Question 3 options: Stirrup Pinna Anvil Hammer
hi please help me asap
****WILL GIVE BRAINLIEST****Even if you dont know answer if you could help explain question to me that'd help Does Merlin’s mist, which does not discriminate be
Which of the following is a green power?
While Anne and the others were hiding there, the building that concealed the secret annex A) caught in fire B) was hit by a bomb C) was sold to a new owner D) w
What is the area of the triangle?