ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

The Sum of the Squares of Two Consecutive Natural Numbers is 41. Find the Numbers. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

The sum of the squares of two consecutive natural numbers is 41. Find the numbers.

Solution

Let the numbers be x and x + 1.
From the given information,
x2 + (x + 1)2 = 41
2x2 + 2x + 1 – 41 = 0
x2 + x – 20 = 0
(x + 5) (x – 4) = 0
x = -5, 4
But, -5 is not a natural number. So, x = 4.
Thus, the numbers are 4 and 5.

  Is there an error in this question or solution?

APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6A | Q: 2
Solution The Sum of the Squares of Two Consecutive Natural Numbers is 41. Find the Numbers. Concept: Quadratic Equations.
S
View in app×