Question

The product of two numbers is 48. The first number is negative, and the second number is four more than twice the first number. Find the two numbers.

Answer 1

xy=48  y=2x+4
x(2x+4)= 48
2x^2+4x=24  x^2+2x-24=0
Factoring yields (x+6)(x-2)=0
x=-6 and 2
If x=-6 then y=-8