Math, asked by rohit1154, 1 year ago

the sum of square of two consecutive odd natural number is 74 .find the number​

Answers

Answered by disha456
0

Answer:

Two integers are either

5

and

7

or

7

and

5

.

Explanation:

Let the two consecutive odd integers be

x

and

x

+

2

. As sum of their square is

74

, we have

x

2

+

(

x

+

2

)

2

=

74

or

x

2

+

x

2

+

4

x

+

4

=

74

or

2

x

2

+

4

x

70

=

0

or dividing by

2

x

2

+

2

x

35

=

0

or

x

2

+

7

x

5

x

35

=

0

or

x

(

x

+

7

)

5

(

x

+

7

)

=

0

or

(

x

+

7

)

(

x

5

)

=

0

.

Hence

x

=

5

or

x

=

7

and

Two integers are either

5

and

7

or

7

and

5

.

Answered by Anonymous
4

hiiiii mate here is ur solution..

Attachments:

Anonymous: no.r. 5 &7
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