anonymous
  • anonymous
find the complex zeros of f(x)=x^4+15x^2+14. Write f in factored form.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
x^4+15x^2+14 =0 (x^2+1)(x^2+14)=0 x^2+1 =0 or x^2 +14 =0 x^2+1-1=0-1 or x^2 +14-14=0-14 x^2=-1 or x^2=-14 x=i or -i or 14i or -14i
anonymous
  • anonymous
f(x)=x^4+15x^2+14 =(x-i)(x+i)(x-14i)(x+14i)
anonymous
  • anonymous
that answer is coming up as incorrect

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anonymous
  • anonymous
(x-i)(x+i)(x-14i)(x+14i) = (x^2+1)(x^2 +14) = x^4 +15x^2+14 what's the answer given?
anonymous
  • anonymous
i don't know. i have to solve it. it just comes up as incorrect
anonymous
  • anonymous
What are your steps?
anonymous
  • anonymous
they don't give me any steps its just shown like i typed it in the beginning
anonymous
  • anonymous
Oh, i see. So, why you think "that answer is coming up as incorrect" ?
anonymous
  • anonymous
should be isqrt(14), -isqrt(14)
anonymous
  • anonymous
because this is a homework assignment that i'm doing on a website and the program is showing the answer in incorrect.
anonymous
  • anonymous
try \[(x-i)(x+i)(x-i \sqrt{14})(x+i \sqrt{14})\]
anonymous
  • anonymous
I found my mistake! x^4+15x^2+14 =0 (x^2+1)(x^2+14)=0 x^2+1 =0 or x^2 +14 =0 x^2+1-1=0-1 or x^2 +14-14=0-14 x^2=-1 or x^2=-14 x=i or -i or isqrt 14 or -isqrt 14
anonymous
  • anonymous
sorry for making mistake
anonymous
  • anonymous
its ok thanks tho

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