what us completing the square method..i knew it but frgt can anyone help me ?

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what us completing the square method..i knew it but frgt can anyone help me ?

Mathematics
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do you want a demonstration?
general involving a ,b c and if possible a demonstration also
it seems this method is pretty useful for solving quadratics thats why i am revising it

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firstly.... you agree that \[ax^2 + bx + c = 0\] that's the quadratic equation, yes?
yep
now..divide ALL terms by a...what do you get?
where's the x?
x^2+(b/a)x+(c/a)=0
right
now subtract c/a from both sides
\[x^2+(b/a)x=-c/a\]
good. now divide b/a by 2..what do you get?
only b/a?
yes... but don't touch the equation yet
just divide b/a by 2
\[(x+b/2a)^2=(4c-b^2)/4a\]
4c+b^2 srry
why is it - b^2
4c+b^2 srry
\[x^2 + (\frac ba)x + \frac{b^2}{4a^2} = -\frac ca + \frac{b^2}{4a^2}\] \[\implies (x + \frac ba)^2 = \frac{b^2 - 4ac}{4a^2}\] you rushed too fast
i see
thx
now take the square root of both sides
do you need further help?
nop gt it
okay then
@lgbasallote can you tell me how we can say that this method will be easier when we have an arbitrary quadratic?i mean is there any relation btw a,b,c so that i can recognise "AHA I CAN USE COMPLETING THE SQUARE HERE INSTEAD OF OTHER METHODS!"
you can use completing the square method anywhere

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