SOLUTION: Find the two numbers whose product is 3 and the larger number is 10 more than the smaller number.

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Question 587957: Find the two numbers whose product is 3 and the larger number is 10 more than the smaller number.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the two numbers whose product is 3 and the larger number is 10 more than the smaller number.
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x*(x+10) = 3

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=112 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 0.291502622129181, -10.2915026221292. Here's your graph:

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