Question

The product of 2 odd consecutive numbers is $63$. find those numbers .

Answer 1

Let the numbers be $x,x+2$

Their product is $63=x(x+2)x^2+2x-63=0x^2+9x-7x-63=0x(x+9)-7(x+9)=0(x-7)(x+9)=0x=7,-9$

So the numbers are $7,9$ or $-9,-7$