Hi

x^4-35x^2+304=0

Let X = x^2

X^2 -35X + 304 = 0

(X-19)(X-16) = 0

X = 16, x = ± 4   (x = ±√X)

X = 19, x = ± √19

 

Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
 Let some variable be .  Check the discriminant to see if the quadratic equation (in quadratic form) is or is not factorable.  Solve for the variable and then solve for x.







----this might be all you need as your answer, OR





... 

, so you should be able to FACTOR the quadratic expression.



Look at 304.

, but another way is to look for all of the two-factor factorizations of 304.

More comfortable might be just use the general solution to find v...









 or .





Now find x.



 or 

OR

 or 







Like just said, if you do not yet know about the general solution you CAN factor the quadratic expression; it just requires looking for the right two factors for 304. 

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