Question 255744
x & x+1 are the 2 consecutive numbers.
x^2+(x+1)=41
x^2+x^2+2x+1=41
2x^2+2x+1-41=0
2x^2+2x-40=0
2(x^2+x-20)=0
2(x+5)(x-4)=0
x-4=0
x=4 ans.
4+1=5 ans.
Proof:
4^2+5^2=41
16+25=41
41=41