If the sum of two numbers is 42 and their product is 437, then find the
absolute difference between the numbers.
Choose the correct choice from the following answers:
A) 2 B) 4 C) 3 D) 1 E) 0
Let the numbers be x and y. Then, x + y = 42 and xy = 437   x - y = sqrt[(x + y)2 - 4xy] = sqrt[(42)2 - 4 x 437 ] = sqrt[1764 – 1748] = sqrt[16] = 4.   Required difference = 4.   Answer is 4.
<result>B</result>
If the sum of two numbers is 42 and their product is 437, then find the
absolute difference between the numbers.