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QThere are two numbers whose sum is 42 and whose product is 437. Find the absolute difference between these numbers.

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#4476Q ID
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  • A 3 ✔ ✖
  • B 4 ✔ ✖
  • C 5 ✔ ✖
  • D 8 ✔ ✖
Correct Answer

Explanation

Given:

x + y = 42
xy = 437
Find:

|x - y|
Substitute the first equation into the expression for |x - y| to get:

|x - y| = √((x + y)^2 - 4xy)
Substitute the given values for x + y and xy into this expression to get:

|x - y| = √((42^2) - 4(437)) = √(1764 - 1748) = √(16) = 4
Therefore, the absolute difference between the numbers is 4.

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