Question

the sum of sqares of two conseculious even no is 340. find the no

Answer 1

HEYA!!

YOUR SOLUTION IS IN THE ATTACHMENT.

#KEVIN

HOPE IT HELPS YOU ☺

WE can't take - 14 as it is negative..

Answer 2

Let the consecutive even numbers be x and x + 2.

Given that the sum of squares of two consecutive even numbers = 340.

x^2 + (x + 2)^2 = 240

x^2 + x^2 + 4 + 4x = 340

2x^2 + 4 + 4x = 340

2x^2 + 4x = 340 - 4

2x^2 + 4x = 336

2x^2 + 4x - 336 = 0

2(x^2 + 2x - 168) = 0

x^2 + 2x - 168 = 0

x^2 - 12x + 14x - 168 = 0

x(x - 12) + 14(x - 12) = 0

(x - 12) = 0 (or) (x + 14) = 0

x = 12 (or) x = -14.


Therefore the two integers are 12 and 14.


Hope this helps!