LuePageau181 LuePageau181

17-07-2014
Mathematics

contestada

Find 3 consecutive even numbers where the product of the smaller two numbers is 40 less than the square of the largest number.

Respuesta :

07-08-2014

[tex]3\ consecutive\ even\ numbers:\ 2x,2x+2,2x+4\\\\2x(2x+2)+40=(2x+4)^2\\\\ 4x^2+4x+40=4x^2+16x+16\\\\ 4x^2-4x^2+4x-16x=16-40\\\\-12x=-24\ \ |:(-12)\\\\x=\frac{24}{12}=2\\\\2x=2=4\\\\2x+2=6\\\\2x+4=8\\\\Numbers\ are\ 4,6,8.[/tex]

Answer Link

Otras preguntas

what was the purpose of morgan spurlock's in doing this experiment, Super Size Me?

Describe the policy of appeasement and it emboldened Hitler leading up to World War II

How is the behavior of waves affected by a medium?

Solve for X in y=12x-5

What is the correct order of stages in the life cycle of a salamander? A. egg --> pupa --> adult B. tadpole --> larva --> adult

A student is interested in whether students who study with music playing devote as much attention to their studies as do students who study under quiet conditio

what is an various-sized particles ejected by a volcano?

How do charges move through an insulated wire connected across a battery? Use the terms potential difference, current, conductor, and insulator in answer.

What is the correct order of stages in the life cycle of a salamander? A. egg --> pupa --> adult B. tadpole --> larva --> adult

what was the main idea of Martin Luther king jr I have a dream speech