SOLUTION: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it! {{{x^4-13x^2+36=0}}}

Question 201889: Dear tutor,Could you help me to solving this equation please?I do not have any idea to solve it!

Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!

(x^2-9)(x^2-4)=0
(x+3)(x-3)(x+2)(x-2)=0
x+3=0
x=-3 ans.
x-3=0
x=3 ans.
x+2=0
x=-2 ans.
x-2=0
x=2 ans.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Let . So

Replace with . Replace with "z"

Notice that the quadratic is in the form of where , , and

Let's use the quadratic formula to solve for "z":

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the solutions in terms of "z" are or

Now recall that we let

So when , or

In other words, when , or

So the first two solutions in terms of "x" are: or

Likewise, when , or

So when , or

So the next two solutions in terms of "x" are: or

===================================================================================

Answer:

So the four solutions are:

, , or

RELATED QUESTIONS
I do not understand this equqtion. I need to solve for x. Could you please explain this (answered by robertb)
Tutor could you please explain how to do this problem for me? Write the equation of... (answered by jim_thompson5910)
Hello. Can you please help me? I need to solve this equation.. x^6-9x^4-x^2+9=0... (answered by nerdybill,rapaljer)
Dear tutor i'm studying for the GRE and i'm having a lot of trouble translating the math... (answered by Fombitz,jojo14344)
please help me with this.I do not have any idea how to begin solving this.... (answered by stanbon)
dear godsend tutor first off i would like to thank you for helping me now to business (answered by solver91311)
Please help me!!!I have this problem and I do not have any idea how to go about solving.... (answered by solver91311,josmiceli)
Tutor could you help me please? How do I: Subtract 2x/x^2-13x+42 minus 7/x-6 (answered by stanbon)
Dear Tutor, I have tried this problem several ways and can't seem to come up with an... (answered by rapaljer)