anonymous
  • anonymous
solve: y^4-16=0
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

anonymous
  • anonymous
solve: y^4-16=0
Mathematics
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

amistre64
  • amistre64
y^4 = 16 2.2.2.2 = 4.4 = 16 -2.-2.-2.-2 = 4.4 = 16
anonymous
  • anonymous
O.k I see that, so my answers should be 2, 2, -2, -2 right?
anonymous
  • anonymous
difference of squares

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
but I also see a difference of squares...
amistre64
  • amistre64
2 or -2 are the answer :)
anonymous
  • anonymous
so there can be a complex solution as well.....
amistre64
  • amistre64
you want to solve for y? or factor it?
amistre64
  • amistre64
all real numbers have 0i as a comlex part
anonymous
  • anonymous
solve for y
amistre64
  • amistre64
since there are no 4rt(...) to worry about, you dont need to include and 0i parts
anonymous
  • anonymous
thing is that I am trying to find the solution to a general differential equation..
amistre64
  • amistre64
y^4 = -16 has complex roots
amistre64
  • amistre64
then you should ask what it is your wanting to figure out lol
anonymous
  • anonymous
+2i and -2i are also the roots.
anonymous
  • anonymous
so the problem is y^4-16y=0
amistre64
  • amistre64
...... maybe :)
anonymous
  • anonymous
at first i just found the +and - 2 as a multiple of four
anonymous
  • anonymous
but then I saw the difference of squares and thought, o.k there are complex numbers so its gonna be different
amistre64
  • amistre64
(2i)^4 = 16.i^2.i^2 = 16 i tend to get lost with that
anonymous
  • anonymous
so i first got y(x)= c1e^(2x)+c2xe^2x+c3x^2e^2x+c4x^3e^2x
anonymous
  • anonymous
what grade are you in
anonymous
  • anonymous
but if i take the complex numbers, then I would get y(x) = c1e^2x + c2e^2x + c3cos 2x + c4sin 2x
anonymous
  • anonymous
Im a sophomore in college.
anonymous
  • anonymous
do you know how to factor a difference of squares?
anonymous
  • anonymous
yeah, I was just wondering if I would to take the Nth root how the question is then I would get +and -2 as a multiple of 4, but at the same time if I do the difference of squares then I will get complex numbers. Ijust want to understand if both answers would be right.
anonymous
  • anonymous
I think since the questions asks to find the general solution to the differential equation, you have to include the complex number as part of your solution
anonymous
  • anonymous
well I will just factor first before I try to solve, that way I can find all the solutions. Thanks for the help though.
anonymous
  • anonymous
welcome...sounds great!
anonymous
  • anonymous
you would still get same thing...2, -2, -2i, 2i

Looking for something else?

Not the answer you are looking for? Search for more explanations.