the SUM OF squares of two consecutive positive integers is 313 find the number Question the SUM OF squares of two consecutive positive integers is 313 find the number in progress 0 Math Hadley 1 month 2021-08-15T07:31:43+00:00 2021-08-15T07:31:43+00:00 2 Answers 0 views 0

## Answers ( )

Search for any book or any question

Math Questions and Answers

MENU

The sum of square of two consiquative natural number is 313.find the number?

print Print document PDF list Cite

Expert Answers info

BAXTHUM8 eNotes educator | CERTIFIED EDUCATOR

Let 1 number be x . Since the numbers are consecutive, the other number would be x + 1.

Square both and add together to equal 313.

x^2 + (x+1)^2 = 313

x^2 + x^2 + 2x + 1 = 313

2x^2 + 2x – 312 = 0

x^2 + x – 156 = 0

(x – 12)(x + 13) = 0

x = 12, x = -13

Since the number are defined to be natural, x = -13 is not a solution.

Therefore, x = 12 , and x+1 = 13 .

The two numbers are 12 and 13.

12^2 + 13^2 = 313

pls mark as brainalist

Answer:234

Step-by-step explanation:LIKE

FOLLOW

MARK MY ANSWER BTAINLIST

RATE

COMMENT