SOLUTION: The sum of two real numbers is 18 and the product is 70. What are the two numbers?

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Question 890251: The sum of two real numbers is 18 and the product is 70. What are the two numbers?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The sum of two real numbers is 18 and the product is 70. What are the two numbers?
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x*(18-x) = 70

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=44 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 12.3166247903554, 5.6833752096446. Here's your graph:

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