SOLUTION: Simplify all square roots and answers should not be decimals Factor or solve the following: X⁴-16x²+48 Thanks!(this is a trinomial btw:)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Simplify all square roots and answers should not be decimals Factor or solve the following: X⁴-16x²+48 Thanks!(this is a trinomial btw:)       Log On


   

Question 1174749: Simplify all square roots and answers should not be decimals Factor or solve the following:
X⁴-16x²+48
Thanks!(this is a trinomial btw:)
Found 2 solutions by ikleyn, ewatrrr:
Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.

Factor it as follows


    x^4 - 16x^2 + 48 = (x^2-12)*(x^2-4) = %28x-2%2Asqrt%283%29%29%2A%28x%2B2%2Asqrt%283%29%29%2A%28x-2%29%2A%28x%2B2%29.


The roots are  2sqrt%283%29, -2%2Asqrt%283%29, 2 and -2.


PLEASE STOP posting duplicates.



Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
X⁴-16x²+48
previously answered: x = -2√3 , -1 , 1 , 2√3
(x - 2)(x + 2))(x + 2√3)(x - 2√3 )