What type of solution does this equation have?

Two real solutions

Step-by-step explanation:

We have the equation

To get a solution, we must solve for u.

When we solve for u, we need to square root each side, but when we do this, we must add a ± to the side that opposite to the u in order to compensate. This is because you could get 80 in two different ways:

This would mean that when we solve for u, we would get ±

Which is the same thing as and

Which are two real solutions.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.