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 system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is