SOLUTION: Find the real solution. {{{x^4-10x^2+25=0}}}

Question 5219: Find the real solution.

Found 2 solutions by rapaljer, ichudov:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
This one factors like a trinomial:

or

So,

Add + 5 to each side of this equation:

Take square root of each side of the equation. (DON'T FORGET THE + or - !!)
or

R^2 at SCC
Answer by ichudov(507) (Show Source): You can put this solution on YOUR website!
This is a typical school problem with fourth and second degree in a trinomial. They are all solved the same way.
Use y instead of . is .

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 5, 5. Here's your graph:

As you can see, the only solution is y=5, or . So, x is either , or
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