SOLUTION: The length of the top of a table is 7m greater than the width. the area is 78m^2. find the dimensions of the table

Question 446089: The length of the top of a table is 7m greater than the width.
the area is 78m^2. find the dimensions of the table
Answer by chriswen(106) (Show Source): You can put this solution on YOUR website!
Let x be the width.
Let x+7 be the length.
...
l*w=A

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=361 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, -13. Here's your graph:

There are two answers 6 and -13. Since, we are dealing with positive numbers x must x= 6.
And x+7=13
So therefore, the dimensions of the rectangle is 6 by 13.
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