SOLUTION: The length of the top of a table is 4m greater than the width. The area is 77m^2. Find the dimensions of the table

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Question 446322: The length of the top of a table is 4m greater than the width. The area is 77m^2. Find the dimensions of the table
Answer by chriswen(106)   (Show Source): You can put this solution on YOUR website!
Let x m be the width of the table.
Let x+4 m be the length of the table.
...




Solved by pluggable solver: SOLVE quadratic equation with variable
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=324 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7, -11. Here's your graph:

Since the answer must be positive,
x=7
x+4=11
Therefore the dimensions of the table are 7m by 11m.
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