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QIf the sum of two numbers is 42 and their product is 437, find the value of the numbers.

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#4482Q ID
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NumbersTopic
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  • A 5 ✔ ✖
  • B 4 ✔ ✖
  • C 3 ✔ ✖
  • D 8 ✔ ✖
Correct Answer

Explanation

To find the values of x and y, we can use the information provided to create a system of equations and solve for x and y.

The first equation is given: x + y = 42
The second equation is given: xy = 437

To find the difference between x and y, we can use the equation x - y = sqrt[(x + y)^2 - 4xy], which is also given.

Substituting the values from the first two equations into the third equation, we get: x - y = sqrt[(42)^2 - 4 x 437] = sqrt[1764 - 1748] = sqrt[16] = 4.

From this equation, we can see that the difference between x and y is 4.
To find the values of x and y, we can set up the following system of equations:

x + y = 42
x - y = 4

Solving this system of equations using substitution, we get:

x = 23 and y = 19

Therefore, the values of x and y are 23 and 19, respectively.

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