SOLUTION: If one end of a line whose length is 13 Units is the point (4, 8) and the ordinate of the other end is 3. What is its abscissa?

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Question 861827: If one end of a line whose length is 13 Units is the point (4, 8)
and the ordinate of the other end is 3. What is its abscissa?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
If one end of a line whose length is 13 Units is the point (4, 8)
and the ordinate of the other end is 3. What is its abscissa?
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Make (4,8) the center of a circle of radius 13
-->
Find the intersection(s) of x=3 and the circle.
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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=672 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 20.9614813968157, -4.96148139681572. Here's your graph:

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