What are the solutions of the equation x^4 - 5x^2 - 14 = 0? use factoring to solve a) x = +-√7 and x = +-√2 b) x = +-i√7 and x = +-i√2 c) x = +-i√7 and x = +-√2 d) x = +-√7 and x = +-i√2

D) x = +-√7 and x = +-i√2

Step-by-step explanation:

Given:

x^4 -5x^2 -14 = 0

This can be written as

x^4 + 2x^2 - 7x^2 -14 = 0

x^2(x^2 + 2) -7(x^2 + 2) = 0

(x^2 +2)(x^2 - 7) = 0

x^2 + 2 = 0   and x^2 - 7 = 0

x^2 = -2

x =

x = ±i√2

x^2 - 7 = 0

x^2 = 7

x = ±√7

Therefore, solutions are D) x = +-√7 and x = +-i√2

Hope this will helpful.

Thank you.

The measure distances for the bus drivers is 5 miles less than that of distances for the teachers

Step-by-step explanation:

The range of the distance for the bus drivers live from school with that of the teachers is estimated to be 5 miles apart

The data that was generated in the school by the principal did an estimation of the distances of both the bus driver and that of the teachers, it was found out that the distances was five miles.