128,677 views
12 votes
12 votes
What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring
to solve.

What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring to solve.-example-1
User Dgotlieb
by
2.4k points

1 Answer

26 votes
26 votes

Answer:

x = ±√7, ±i√2

Explanation:


x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\


x^2 - 7 = 0 or
x^2 + 2 = 0\\

x^2 - 7 = 0

x^2 = 7

x = ±√7

or x^2 + 2 = 0

x^2 = -2

x = ±i√2

User Daniel Mizerski
by
3.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.