SOLUTION: The length of this rectangle is 1cm more than its width.It has an area of 232cm2.Find the width of the rectangle correct to 1 d.p.

Question 283090: The length of this rectangle is 1cm more than its width.It has an area of 232cm2.Find the width of the rectangle correct to 1 d.p.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x*(x+1)=232
x^2+x-232=0
we only use the positive root 14.7 for the width
length would be 14.7+1

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=929 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 14.7397506541282, -15.7397506541282. Here's your graph:

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