Question

sum of consequent 2 natural number and square of the first is 5329.which are the numbers? ​

Answer 1

Let the 1st number=x

2nd number=x+1

ATQ

x+x+1+(x×x)=5329

x^2+2x+1=5329

x^2+x+x+1=5329 {On Factorizing}

x(x+1)+1(x+1)=5329

(x+1)(x+1)=5329

(x+1)^2= 5329

x+1=73

x=72