The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Question
Solution 1
Let's assume the three numbers are a, b, and c.
According to the given information, we have two equations:
- a^2 + b^2 + c^2 = 138
- ab + ac + bc = 131
To find the sum of the three numbers, we need to solve these equations simultaneously.
First, let's square equation 2:
(ab + ac + bc)^2 = 13 Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is ___________.Choices:- 20 30 40 50
The sum of the squares of the three consecutive even natural numbers is 1460. Find the numbers.
If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be?Options :7211435
Two numbers have a sum of 13. The sum of their squares is 85. What is the product of these two numbers?
Sum of the squares of first n natural numbers exceeds their sum by 330, then n =
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.