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Please help me with this problem...!

Hi! Can anyone help me with this problem? :

Write in completed square form: 2x²+4x+6

Please give the step-by-step explanation...

Thanks!
Reply 1
Original post by Aegyst
Hi! Can anyone help me with this problem? :

Write in completed square form: 2x²+4x+6

Please give the step-by-step explanation...

Thanks!

First take out a factor of 2:

= 2(x^2 + 2x + 3)

Then complete the square for x^2 + 2x + 3.

Please post your working if you're not sure. If you don't know how to complete the square for x^2 + 2x + 3 then let us know.
Reply 2
Original post by Aegyst
Hi! Can anyone help me with this problem? :

Write in completed square form: 2x²+4x+6

Please give the step-by-step explanation...

Thanks!


Whenever you complete the square, the coefficient of the x^2 term must ALWAYS be one. You can do this by taking out a factor of two from the whole equation, then after that you will be left with 2(x^2+2x+3). Then complete the square on x^2+2x+3
Reply 3
Original post by Notnek
First take out a factor of 2:

= 2(x^2 + 2x + 3)

Then complete the square for x^2 + 2x + 3.

Please post your working if you're not sure. If you don't know how to complete the square for x^2 + 2x + 3 then let us know.


Could you please write down the working? I still don't get it... Thanks.
Reply 4
Original post by jaspreetb
Whenever you complete the square, the coefficient of the x^2 term must ALWAYS be one. You can do this by taking out a factor of two from the whole equation, then after that you will be left with 2(x^2+2x+3). Then complete the square on x^2+2x+3


Could you give me the step-by-step working? I don't get it, actually.
Thanks, by the way!
Reply 5
Original post by Aegyst
Could you please write down the working? I still don't get it... Thanks.

Sorry we can't give full solutions.

Can you please show us what you've tried? Do you know how to complete the square for (x^2 + 2x + 3)?
Reply 6
Original post by Notnek
Sorry we can't give full solutions.

Can you please show us what you've tried? Do you know how to complete the square for (x^2 + 2x + 3)?


Is this correct? :

x²+2x+1 -3+1
(x+1)² -2
(x+1)²+2
Reply 7
Original post by Aegyst
Is this correct? :

x²+2x+1 -3+1
(x+1)² -2
(x+1)²+2

That's right.

So 2(x^2 + 2x + 3)

is just going to be 2 x this. So you get:

2[(x+1)²+2]

Can you expand this to finish it off (i.e. multiply both terms by 2).

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