Question

The square of five consecutive natural numbers add up to 3655. Find those numbers... plse help I'll mark as BRAINLIEST show step by step​

Answer 1

Step-by-step explanation:

x+1+x+2+x+3+x+4+x+5=3655

5x+15=3655

5x=3655-15

5x=3640

x=3640

5

x=726

x+1=727

x+2=728

x+3=729

x+4=730

x+5=731 Answers...

thanks ..

Answer 2

Answer:

Let the five consecutive integers be n,n+1,n+2,n+3,n+4

then, n

2

+(n+1)

2

+(n+2)

2

+(n+3)

2

+(n+4)

2

=1455

5n

2

+20n+30−1455=0

5n

2

+20n−1425=0

n

2

+4n−285=0

n=

2

−4±

16+1140

=

2

−4±34

=15,−17

Hence, the numbers are 15,16,17,18,19

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