SOLUTION: Fine the real or imaginary solutions of each equation by factoring {{{X^4-8x^2=-16}}} Can you also explain how to get this? I don't understand this lesson.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Fine the real or imaginary solutions of each equation by factoring {{{X^4-8x^2=-16}}} Can you also explain how to get this? I don't understand this lesson.      Log On


   

Question 708364: Fine the real or imaginary solutions of each equation by factoring
X%5E4-8x%5E2=-16
Can you also explain how to get this? I don't understand this lesson.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
X%5E4+-+8x%5E2+=+-16
Add 16 to both sides
x^4 - 8x^2 + 16 = 0
Can be factored to
(x^2 - 4)(x^2 - 4) = 0
then we have
x^2 = 4
x = +/-sqrt%284%29
two solutions
x = +2
x = -2
:
Graphically
+graph%28+300%2C+200%2C+-6%2C+6%2C+-10%2C+20%2C+x%5E4+-+8x%5E2+%2B+16%29+