The sum of two numbers is 1, and the absolute difference of the two numbers is 2. What is the product of the two numbers? Express your answer as a common fraction.

x + y = 1

|x - y| = 2

x + y = 1 x - y = 2- + -------------

2y = - 1

y = - 1/2

Now the value of x is

x - 1/2 = 1

x = 1 + 1/2

x = 3/2

Product of two numbers is

xy = -1/2 * 3/2

xy = - 3/4

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up