SOLUTION: This is an odd consecutive integers word problem. I have to solve it using factoring with the principle zero. The problem says "The sum of the squares of two consecutive odd positi

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is an odd consecutive integers word problem. I have to solve it using factoring with the principle zero. The problem says "The sum of the squares of two consecutive odd positi      Log On


   



Question 119830This question is from textbook Algebra 2 with Trigonometry
: This is an odd consecutive integers word problem. I have to solve it using factoring with the principle zero. The problem says "The sum of the squares of two consecutive odd positive integers is 394. Find the integers." COuld you please help me. This question is from textbook Algebra 2 with Trigonometry

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="first integer", so x+2="next integer" __ x^2+(x+2)^2=394 __ x^2+x^2+4x+4=394

2x^2+4x-390=0 __ x^2+2x-195=0 __ factoring gives (x-13)(x+15)=0