SOLUTION: This one is a bit different than what I have actually learned my my lessons. Could you help me solve this equation? 10x^4 - 27x^2 + 5 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: This one is a bit different than what I have actually learned my my lessons. Could you help me solve this equation? 10x^4 - 27x^2 + 5 = 0      Log On


   

Question 259859: This one is a bit different than what I have actually learned my my lessons. Could you help me solve this equation?
10x^4 - 27x^2 + 5 = 0
Found 2 solutions by jim_thompson5910, scott8148:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Let z=x%5E2 and notice that z%5E2=x%5E4. Apply the appropriate substitutions to get 10z%5E2-27z%2B5=0. Solve this equation using the quadratic formula to get two solutions in terms of 'z'. Use each solution to find two solutions (per solution of 'z') in terms of 'x'. In total, you should get 4 solutions in terms of 'x'.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(5x^2 - 1) (2x^2 - 5) = 0