# How do you solve #-3x^2 - 5 = 22#?

##### 2 Answers

How do you solve

#### Explanation:

Since there is no "linear" term, that is a term with an "x" variable that is not squared, I would isolate the "

Take the square root of both sides:

And don't forget the

That is, there are no real solutions!

Graphically, this means that the function graph of f(x) =

I have taken you to a point where you can take over.

#### Explanation:

It is a matter of looking at whole number factors of the

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add

Whole number factors of 22 can only be 2 and 11

Whole number factors of 3 can only be 3 and 1

Starting point. We know we have:

Considering combinations for the constant of 11

Try this one:

Try this one:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

standard form

and

As soon as you see that there is a square root of a negative number then the curve does not cross the x-axis. Consequently there is no solution where

Thus the only solutions are for

I will let you finish this off.

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~