Question

The product of 2 consecutive even numbers is $360$ find the numbers

Answer 1

Let the 2 numbers be $x,x+2$

The product is given as $360$

$⟹x(x+2)=360x^2+2x-360=0x^2+20x-18x+360=0x(x+20)-18(x+20)=0(x-18)(x+20)=0x=18,-20$