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Solving Quadratic Equations using the Quadratic Formula

Solving Quadratic Equations using the Quadratic Formula 1.15 - Solution

arrow_back Return to Solving Quadratic Equations using the Quadratic Formula

In this exercise we are given the value of the area of a rectangle and dimensions of a rectangle. Let's look at the rectangle, use the formula for area, then solve for

Since we can use and in the area formula. Let's substitute and simplify.
Simplify right-hand side
Now that we have an equation in standard form, let's use the Quadratic Formula to solve for
Simplify right-hand side
The solutions for this equation are Let's separate the two cases.

Since is part of a unit of length, we can ignore the negative solution and say