#algebraic manipulations?

25 messages · Page 1 of 1 (latest)

sinful skiff
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how do i go on about this?

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versed violetBOT
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sinful skiff
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since a + b + c = 0

we can say that

a^4 + b^4 + c^4 = 2[(ab)^2 + (bc)^2 + (ac)^2]

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but i cant get any good form?

livid meteor
sinful skiff
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nd i have no idea how to proceed

livid meteor
sinful skiff
livid meteor
# sinful skiff it does when a+b+c = 0

Then that's a step you need to make more explicit, because to me it looks like you just squared every individual term when that's not how squaring works in an equation.

sinful skiff
livid meteor
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Wait, no, I see what you did.

livid meteor
sinful skiff
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should here be a 2
print mistake maybe

since it will lead to symmetry?

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livid meteor
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I don't know how to solve the problem. Anything I do or suggest is just going to be playing around with the given equations same as you.

livid meteor
sinful skiff
tall heronBOT
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@sinful skiff has given 1 rep to @livid meteor

livid meteor
# sinful skiff oh ok thanks anyways tho

Like, let me be clear, I know "how to solve the problem" in the sense that I know the family of legal operations that must necessarily lead in some combination to the solution if such a solution exists, I just don't know which conbination to use them in and I'm not in a position to make the attempt right now.

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My instinct is to clear the denominators in the second equation.

sinful skiff
sinful skiff
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.close