What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i

Step-by-step explanation:

So we have the equation:

Let's let u equal x² so:

Factor. We can use -9 and 4. So:

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

Grouping:

Zero Product Property:

On the left, add 9. On the right, subtract 4:

Substitute back u:

Take the square root:

And we're done!

Our answer is the Second option.