I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
https://brainly.com/question/14198272
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