SOLUTION: Good Evening! I am working on some problems for homework. Find all real zeros of the polynomial function: f(x)= -6x^4+54^2 Thanks!! Jim

SOLUTION: Good Evening! I am working on some problems for homework. Find all real zeros of the polynomial function: f(x)= -6x^4+54^2 Thanks!! Jim

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Question 383974: Good Evening! I am working on some problems for homework.
Find all real zeros of the polynomial function: f(x)= -6x^4+54^2
Thanks!!
Jim
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
-6x^4+54^2=0
-6x^4+2916=0
-6(x^4-486)=0
(x^4-(81*6)=0
(x^2+9sqrt(6))(x^2-9sqrt(6))=0
x^2=9sqrt(6)
x=3*6^(1/4), x=-3*6^(1/4) the only rel roots.
.
Ed
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