What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

Step-by-step explanation:

We have the equation:

Since this is in quadratic form, we can consider using u-substitution. Thus, we will let:

Then by substitution:

Now we can solve normally. Factor:

Zero Product Property:

Back-substitute:

Take the square root of both sides. Since we are taking an even-root, we will need to add plus-minus:

Therefore, our solutions are:

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)