Question

Use a quadratic equation to find two real numbers that satisfies the situation. The sum of the two numbers is 2, and their product is –48.

Answer 1

a+b=2 and ab=-48, let a=x and y=b
x+y=2 implies y=2-x
xy=-48 implies x(2-x)=-48
so 2x-x^2+48=0