What are two numbers that have the sum of 1 and product of 12

Question

Math

 

Answer 1

x + y = 1

xy = 12

 

y = 12/x

 

x + 12/x = 1

x² + 12 = x

x² - x + 12 = 0

 

Note the discriminant of this quadratic equation is negative.

 

D = (-1)² - 4(1)(12) = 1 - 48 = -47 < 0

 

Therefore, there is no real solution to this problem.