Saturday

March 28, 2015

March 28, 2015

Posted by **eddy** on Tuesday, October 30, 2012 at 1:15am.

write and equation to find the three consecutive positive integers let x= the smallest integer

- math -
**Reiny**, Tuesday, October 30, 2012 at 9:34amlet the 3 consecutive positive integers be

x , x+1, and x+2

x^2 + (x+1)^2 = 221

x^2 + x^2 + 2x + 1 = 221

2x^2 + 2x - 220 = 0

x^2 + x - 110 = 0

(x+11)(x-10) = 0

x = -11 or x = 10

but x must be positive

so the 3 numbers are 10,11, and 12

check: is 10^2 + 11^2 = 221 ?

YES

**Answer this Question**

**Related Questions**

math - 1. The largest of five consecutive integers is twice the smallest. Find ...

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

math - A. Four times one odd integer is 14 less than three times the next even ...

smallest of 3 integers - The sum of the reciprocals of three consecutive ...

Math - find three consecutive positive odd integers such that the sum of the ...

math - the sum of the reciprocals of three consecutive positive integers is ...

math - the sum of the squares of four consecutive positive integers is 734. what...

quad. eq. - find 3 consecutive integers such that the product of the second and ...

la sallle - There are 3 consecutive even integers such that the quotient ...

math - Consecutive integers are integers that follow each other in order (for ...