Question

find the two consecutive even natural numbers such that the sum of their squares is 62

Answer 1

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Your question needs a correction :

Correct question : sum of their squares = 52



Solution

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Let required numbers are 2x and 2( x + 1 ) ,

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Given that the sum of their squares will be 52 ,


= > ( 2x )² + { 2( x + 1 ) }² = 52


= > 4x² + { 4( x² + 1 + 2x ) } = 52


= > 4x² + 4x² + 4 + 8x = 52


= > 8x² + 4 + 8x = 52


= > 8x² + 4 - 52 + 8x = 0


= > 8x² + 8x - 48 = 0


= > x² + x - 6 = 0


= > x² + ( 3 - 2 )x - 6 = 0


= > x² + 3x - 2x - 6 = 0


= > x( x + 3 ) - 2( x + 3 ) = 0


= > ( x + 3 ) ( x - 2 ) = 0


= > x = - 3 or x = 2



Given that numbers are natural numbers , so value of x is 2.




Hence,
Consecutive numbers are 2x = 2( 2 ) = 4 and 2( x + 1 ) = 2( 2 + 1 ) = 2( 3 ) = 6

Answer 2

Answer:

the questions 52 not 62 & the answer is 4^2+6^2

Step-by-step explanation: