SOLUTION: {{{x^2=21-sqrt((x^2)-9)}}} For this problem I got this far... x^2(x^2-43)+450=0 How would you factor this? Help me!

Algebra ->  Radicals -> SOLUTION: {{{x^2=21-sqrt((x^2)-9)}}} For this problem I got this far... x^2(x^2-43)+450=0 How would you factor this? Help me!      Log On


   

Question 441085: x%5E2=21-sqrt%28%28x%5E2%29-9%29
For this problem I got this far...
x^2(x^2-43)+450=0
How would you factor this? Help me!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem I got this far...
x^2(x^2-43)+450=0
How would you factor this?
Write it:
x^4 - 43x^2 + 450 = 0
This will factor to
(x^2 - 18)(x^2 - 25) = 0
Four solutions
x^2 = 18
x = +/-sqrt%2818%29
x = +/-3sqrt%282%29
and
x^2 = 25
x = +/-sqrt%2825%29
x = +/- 5
:
Check all solutions in the original equation