Solve the following equation:
x^2-2x+1=0
Please help!

Question

hedgepig · Answer

how do I do this problem?

daisydukeee · Answer

x=1

hedgepig · Answer

thx

photon336 · Answer

@hedgepig do you know how to find it? there are two methods you could use

hedgepig · Answer

well we just started this unit... i have no idea what im doing :(

photon336 · Answer

alright so quadratic equations are in the form 

$$ax^{2}+bx+c $$

photon336 · Answer

see the 2 there? in the exponent that's the highest degree of our polynomial

hedgepig · Answer

the -2?

photon336 · Answer

so the way i see this is that because the highest power is we should expect 2 solutios $$x^{2} ~~~~2~solutions $$

photon336 · Answer

$$ax^{2}+bx+c ~~~ x^{2}-2x+1$$ 

@hedgehog can you identify the a b and c terms by just comparing the two?

hedgepig · Answer

hmmm ok 0, -2, and 1?

hedgepig · Answer

no wait 0, -2. and 0

photon336 · Answer

so the a term is in-front of the x^2 , b term is the number in front of x

hedgepig · Answer

so theres nothing in front of the x^2 term? doesnt that mean its 0??

photon336 · Answer

no it means that there is a 1

photon336 · Answer

$$x^{2} --> 1(x^{2})$$ but no one really writes it like that

hedgepig · Answer

ohhh ok so 1,-2,0?

photon336 · Answer

first two are right . see that 1 there that's your c value

hedgepig · Answer

but it doesnt have an x? doesnt that mean its 0?

photon336 · Answer

no c is a constant because there isn't an x there

photon336 · Answer

say if I gave you this  $$3x^{2}+2x+1$$ what would your a b and c terms be? this will make sense in a bit.

hedgepig · Answer

2 and 0?

photon336 · Answer

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