Question

The product of 2 consecutive natural numbers is 240 find the numbers

Answer 1

Let the numbers be $x,x+1$

Product is $x(x+1)=240x^2+x=240x^2+x-240=0x^2+16x-15x-240=0x(x+16)-15(x+16)=0(x+16)(x-15)=0x=15,-16$

The numbers are 15,16