Question

Find a negative real number such that the square of the sum of the number and 5 is equal to 48

Answer 1

Let's call our unknown number \(\large x\).

`the square of the sum of the number and 5`
\(\large (x+5)^2\)

Understand how I interpreted that sentence?
We are taking their sum, and squaring it.

`is equal to 48`
\(\large (x+5)^2=48\)


Solve for \(\large x\)! :)

Answer 2

Since it's a quadratic (2nd degree polynominial), you'll end up with 2 solutions.
The instructions are telling us that we want the negative solution.

Answer 3

thnk you! :D