What are the solutions of the equation x4 – 5x2 – 14 = 0? use factoring to solve.
x = plus-or-minus startroot 7 endroot and x = plus-or-minus startroot 2 endroot
x = plus-or-minus i startroot 7 endroot and x = plus-or-minus i startroot 2 endroot
x = plus-or-minus i startroot 7 endroot and x = plus-or-minus startroot 2 endroot
x = plus-or-minus startroot 7 endroot and x = plus-or-minus i startroot 2 endroot

Step-by-step explanation:

The given equation is

To factor this expression, we can change variables to make easier to see the solution.

and

Applying the change, we have

Now, you can observe that to factor this expression, we just need to find two number which product is 14 and which difference is 5, such numbers are 7 and 2.

However, remember that , so

Applying the zero property, we have

As you can see, the equation has two real solutions and two complex solutions.

Therefore, the right answer is the last choice.

step-by-step explanation:

it's 15