Given the following rational function, find the following.

Question

f(x)=3x^2−78/ 6x^2+54
(a) Find the zeros of f(x). If there are none, enter DNE in all capital letter

I got the square root of +_ 26 and 0 but it says wrong
I also tried to put it in as (5.09901951359278,0)
(−5.09901951359278,0) bur it says wrong

Answer 1

3x^2−78/ 6x^2+54 = 3 (x^2-26) / 6(x^2 - 9)
this is zero if x^2-26 = 0 and undefined if x = + or - 3
so x = +/- 5.099
You do not normally have to include y = 0 in your answer.

Answer 2

thank you