Sunday

September 21, 2014

September 21, 2014

Posted by **Alondra** on Sunday, April 10, 2011 at 11:30pm.

- math -
**Jai**, Sunday, April 10, 2011 at 11:45pmfirst we represent unknowns using variables,,

let x = first number

let x+2 = second number

note that since they are consecutive but both even numbers, the difference between them is 2, that's why the second number is x+2

now we set-up the equation,, since the sum of the squares (meaning both number are raised to 2) is equal to 340,

(x)^2 + (x+2)^2 = 340

x^2 + x^2 + 4x + 4 = 340

combine similar terms and simplify:

2x^2 + 4x + 4 - 340 = 0

2x^2 + 4x - 336 = 0

we can factor out 2 and cancel it:

2(x^2 + 2x - 168) = 0

x^2 + 2x - 168 = 0

since this quadratic equation is factorable,

(x + 14)(x - 12) = 0

x = -14 and x = 12

thus there are two pairs of answers:

(i) x = -14 and x+2 = -12

(ii) x = 12 and x+2 = 14

hope this helps~ :)

- math -
**MathMate**, Sunday, April 10, 2011 at 11:47pmSo the average of the two squares is 340/2=170.

Sqrt(170)=13 (approx.)

What would you propose for the two consecutive even integers?

**Answer this Question**

**Related Questions**

MATH PLEASE HELP - the sum of the squares pf two postive consecutive even ...

Algebra - The sum of the squares of two consecutive positive even integers is ...

pre-calc - the sum of the two squares of two consecutive even integers is 1,648...

math - The difference of the cubes of two consecutive odd positive integers is ...

Math - When you solve questions like "The sum of 3 consecutive integers is 147. ...

Algebra - The difference of the cubes of two consecutive odd positive integers ...

Algebra - The difference of the cubes of two consecutive odd positive integers ...

algebra! - The difference of the cubes of two consecutive odd positive integers ...

Algebra - The difference of the cubes of two consecutive odd positive integers ...

math, algebra - 2a+2ab+2b I need a lot of help in this one. it says find two ...