SOLUTION: Solve. {{{4x^4-16x^2+15=0}}} The solution is x=____. (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separ

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. {{{4x^4-16x^2+15=0}}} The solution is x=____. (Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separ      Log On


   



Question 397083: Solve.
4x%5E4-16x%5E2%2B15=0
The solution is x=____.
(Simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate answers as needed.)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E4-16x%5E2%2B15+=+%282x%5E2+-+5++%29%28+2x%5E2+-+3%29+=0
==> 2x%5E2+-+5++=+0 or 2x%5E2+-+3+=+0
==> x%5E2+=+5%2F2 or x%5E2++=+3%2F2
==> x+=+sqrt%285%29%2F2, -sqrt%285%29%2F2, sqrt%283%29%2F2, and -sqrt%283%29%2F2.