SOLUTION: Solve. 4x^4-25x^2+36=0 If there is more than one solution, separate them with commas.

Algebra ->  Equations -> SOLUTION: Solve. 4x^4-25x^2+36=0 If there is more than one solution, separate them with commas.      Log On


   

Question 395735: Solve.
4x^4-25x^2+36=0

If there is more than one solution, separate them with commas.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

4x^4-25x^2+36=0  |substition showed x = 2 is a root

(x-2)(4^3+8x^2-9x-18) |found by dividing 4x^4-25x^2+36 by (x-2)

(x-2)(4^3+8x^2-9x-18) |substitiution showed x = -2 is a root for 4^3+8x^2-9x-18

(x-2)(x+2)(4x^2-9)     |found by dividing 4^3+8x^2-9x-18 by (x+2)

factoring

(x-2)(x+2)(2x-3)(2x+3)=0

x = {-2,-2,3/2,-3/2}