Question

Can someone please please help me with finding all roots Please

x^4 +18x^2 +81=0

x^3 +2x^2 −15x=0

x^4 +6x^3 +8x^2 =0

Answer 1

for equation no1
since the second term has positive sign, so the root will be the root of the first term plus the root of the third term

Answer 2

x^4 + 18x^2 + 81 = 0
x^4 + 9x^2 + 9x^2 + 81 = 0
x^2(X^2 + 9) + 9(x^2 + 9) = 0
(x^2+9)(x^2+9) = 0
(x^2+9)^2 = 0
x^2 + 9 = 0
x^2 = -9
x = -3i, 3i

Answer 3

So would it factor to
(x^2+9)2=0
then all the roots would be
Roots: {3i multiplicity 2, −3i multiplicity 2}

Answer 4

Yes.

Answer 5

@aum

Answer 6

Thank you so much you are the only person who continued to help me

Answer 7

You are welcome.

For the second problem, factor out x. You will be left with a quadratic which you can then factor.

For the third problem, factor out x^2. You will be left with a quadratic which you can then factor.

Answer 8

Thank you :)

Answer 9

yw.

Answer 10

I know this is a lot to ask and I hope I'm not bothering you but is this the answer to the 2nd one
Factors to: x(x − 3)(x + 5)= 0
Roots: {0, 3, −5}

Answer 11

Yes!

Answer 12

AHHH Yes thank you so much!

Answer 13

yw.