Igniform
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#1
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x-y=(2x-2y)^2

I'm really stuck on how to solve it have been trying for a while
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davros
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(Original post by Igniform)
x-y=(2x-2y)^2

I'm really stuck on how to solve it have been trying for a while
Can you see any factors of the expression on the RHS?
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vix.xvi
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(Original post by Igniform)
x-y=(2x-2y)^2

I'm really stuck on how to solve it have been trying for a while
expand it out. re-arrange to get in terms of y. factorise to get some values of x

i think?
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davros
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(Original post by vix.xvi)
expand it out. re-arrange to get in terms of y. factorise to get some values of x

i think?
No need to expand How does 2x - 2y factorize?
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vix.xvi
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(Original post by davros)
No need to expand How does 2x - 2y factorize?
lol 2(x-y)

but are you allowed to do that?? cuz the whole thing is squared right lmao
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Igniform
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(Original post by davros)
No need to expand How does 2x - 2y factorize?
does that mean x-y=1/4? but how does that help find the actual solutions?
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davros
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(Original post by vix.xvi)
lol 2(x-y)

but are you allowed to do that?? cuz the whole thing is squared right lmao
What do you mean - "allowed to do that"? I haven't done anything yet, just expressed one term in an alternative form. You still have to square something and factorize and work out possible solutions...
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vix.xvi
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(Original post by davros)
What do you mean - "allowed to do that"? I haven't done anything yet, just expressed one term in an alternative form. You still have to square something and factorize and work out possible solutions...
ooh i see

i meant allowed to do that according to maths rules lol
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davros
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(Original post by Igniform)
does that mean x-y=1/4? but how does that help find the actual solutions?
You need to factorize very carefully so you don't lose solutions. But there isn't going to be a unique numerical solution - unless there's more information about x and y that you haven't included
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Anamika Sen
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x-y = (2x-2y)^2 for x not equal to y and x, y both are not zero
=> x-y = 4(x-y)^2
=> x-y = 1/4
=> x= 1/4+y
For each value of y you will get a value of x.
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davros
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#11
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(Original post by Anamika Sen)
x-y = (2x-2y)^2 for x not equal to y and x, y both are not zero
Please don't post full solutions - it's against the rules of the forum!

And you've thrown away a whole set of solutions on your first line there
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