Question

hi could u plzz help me in this one
find two consecutive natural numbers whose square have the sum 85​

Answer 1

Ans :

6,7 or -6, -7

Hint :

Let the natural numbers be x and x + 1. Then, by hypothesis, we have

x

2

+(x+1)

2

=85.

hope you like it

Answer 2

Answer:

6,7 or -6, -7

6,7) and (-7,-6) are two pairs of consecutive numbers whose square have the sum of 85.

Let one number be x and the other number be x+1. (Since they are consecutive)

Now we have, x^2 + (x+1)^2=85

x^2 +x^2+2x+1=85

2x^2 +2x+1=85

2x^2 +2x - 84=0

x^2 +x - 42=0

(x+7)(x-6)=0

Therefore, x=6 and x+1=7 or x=-7 and x+1=-6.