Solve:
A
(B)
©
(D)

To solve the equation , we can first add 81 to both sides:

Next, divide both sides by 16:

Now, take the square root of both sides:

So the solutions are and . The correct answer is (D) .

Now, let’s dive into some interesting tidbits about this equation:

Using this equation provides a clear example of the difference of squares, where we can express it in the form . This form can lead us to use the identity , which can make solving quadratic equations easier and faster!

Many real-world applications of quadratic equations, like projectile motion, describe paths taken by objects in the air, such as a basketball being shot into a hoop. Using the same principles, we can calculate optimal angles and forces, ensuring spectacular shots and impressive three-pointers!