SOLUTION: The length of the table top is 5m greater than the width. The area is 66m2. Find the Dimensions of the table top

Question 448678: The length of the table top is 5m greater than the width. The area is 66m2. Find the Dimensions of the table top
Answer by chriswen(106) (Show Source): You can put this solution on YOUR website!
Let x m be the width of the table top.
Let x+5 m be the length of the table top.
...
A=l*w
66=(x)(x+5)
66=x^2+5x
0=x^2+5x-66

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=289 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, -11. Here's your graph:

The answer must be positive so,
x=6
x+5=11
...
Therefore, the dimensions of the table top is 6m by 11m.
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