x4−2=−10 (1 point)

Answer 1

To solve the equation x^4 - 2 = -10, we can start by adding 2 to both sides of the equation:

x^4 - 2 + 2 = -10 + 2

This simplifies to:

x^4 = -8

To solve for x, we can take the fourth root of both sides:

√(x^4) = √(-8)

Since the fourth root can be both positive and negative, we will have two solutions:

x = ±√(-8)

However, √(-8) is not a real number, so the equation x^4 - 2 = -10 has no real solutions.