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Using the given zero, find all other zeros of f(x).
2i is a zero of f(x) = x^4  45x^2  196
 9 months ago
 9 months ago
Using the given zero, find all other zeros of f(x). 2i is a zero of f(x) = x^4  45x^2  196
 9 months ago
 9 months ago

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cwrw238Best ResponseYou've already chosen the best response.1
+2i is also a solution dividing 4 into 196 gives 49 so it looks like 7 and 7 may be roots plugging these values gives 7^4  45*49  196 = 0
 9 months ago

cwrw238Best ResponseYou've already chosen the best response.1
roots are 7,7,2i, 2i
 9 months ago

cwrw238Best ResponseYou've already chosen the best response.1
i ought to explain some more about the above; complex roots exist as pairs if a + bi is a root then the other is a  bi thats why +2i is another root of your equation to find the other roots i used the rational root theorem the factors of 196 are +/1, +/ 2, +/4, +/7, +/14, +/28, +/ 49 and are possible roots i was lucky that i guessed it might be +7 and 7 first an equation in x^4 will have 4 roots , if some are complex there will be 2 of them
 9 months ago
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