0
Let the numbers be m & m+1 (consecutive)
Hence their squares are
m^2 & ( m + 1)^2 => m^2 & m^2 + 2m + 2
Hence
Their sum is
m^2 + m^2 + 2m + 1 = 85
2m^2 + 2m - 84 = 0
m^2 + m - 42 =0
Factor
(m + 7)(m - 6) = 0
Hence the numbers are 6 & 7 .
What else can I help you with?
Continue Learning about Algebra
The sum of the squares of two consecutive positive even integers is 340Find the integers?
The numbers are 12 and 14.
The sum of the squares of two consecutive odd integers is 34 what are the numbers?
3 and 5
The sum of the squares of two consecutive odd numbers is 130 what are the numbers?
7 and 9 72+92 = 130
If the sum of the squares of two consecutive odd positive integers is 202 what are the integers?
112+92 is 202.
The sum of the squares of two consecutive positive even itegers is 340find the integers?
144 + 196 = 340 so integers are 12 & 14.
Related Questions
The sum of the squares of two consecutive positive numbers is 61?
5
The sum of the squares of two consecutive positive numbers is 61. What are the smaller numbers?
5
The sum of the squares of two consecutive positive numbers is 41 What is the smaller number?
4
The sum of the squares of two consecutive positive numbers is 61 What is the smaller number?
5.
The sum of the squares of two consecutive positive numbers is 41 What is smaller number?
4
What is The sum of the squares of two consecutive positive numbers is 61 what is the smaller number?
The numbers are 5 and 6.
What are two consecutive positive even numbers the sum of whose squares is 340?
The numbers are 12 and 14.
What are the 2 consecutive positive even numbers the sum of whose squares is 340?
The numbers are 12 and 14.
The sum of the squares of two consecutive positive numbers is 61. What is the number?
There is no single number here. The two seed numbers are 5 and 6; their squares sum to 61.
The sum of the squares of two consecutive positive even integers is 340?
The numbers are 12 and 14.
The sum of the squares of two consecutive positive even numbers is 20 what is the smaller number?
2.
The sum of the squares of two consecutive positive even numbers is 52 What is the smaller number?
4.
Trending Questions
What is the term for a relation in which each input value corresponds to exactly one output value?
What does higher albedo means?
How many tens go into 100000?
Which plural is correct - 20 feet wide or 20 foot wide?
Is breakdown singular or plural?
Alkalis have a pH what than 7?
Why is it called set square when it is a triangle?
If carpet costs 49.50 a square meter how much would a lineal meter cost?
What is the smallest even number of 3 digit?
If a is greater than b and b is greater than c is a greater than c?
What is the slope given by 2x y 8?
What is the approximate circumference of the circle. Use 3.14 to approximate pi?
Who were the first person to know algebra?
What is the difference between an expression and an equation in algebra?
What is the dimensions of all rectangles made with 56 square tiles?
How many sides does the regular octagon has?
What must be added to 452664 to make it a perfect square?
How many feet is three miles?
What is an equation that is not true for any value of the variable?
How do you solve a proportion if a variable is missing?
Copyright ©2025 Answers.com | Lunias Media Inc. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers.