Question 284805
two consecutive numbers are x and x+1
so The sum of the squares of two consecutive positive numbers is 61 means
{{{(x)^2+(x+1)^2=61}}}
{{{x^2+x^2+2x+1=61}}}
{{{2x^2+2x-60=0}}}
{{{2(x^2+x-30)=0}}}
{{{2(x-5)(x+6)=0}}}
x=5 or x=-6