Question

the sum of squre of two consicutive natural number is85 find the number ​

Answer 1

Answer:

if one no is x

then next no is x+1

a.t.q

x^2+(x+1)^2=85

x^2+(x^2+1+2x) = 85

2x^2+2x+1= 85

2x^2+2x-84 =0

x^2+x-42 =0

x^2+7x-6x-42=0

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

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

so can be 6 or -7

but natural numbers are always positive

so, x=6

then the consecutive natural numbers are 6 and 7.