The Student Room Group

completing the square, does the book have it wrong?

complete square 2x^2 - 12x + 6

the book got

2(x-4)^2 - 29

but i got

2(x-4)^2 - 26

As -4^2 = 16 x 2 = 32, 6-32 = -26?

Did i do something wrong? the book has it as 3-32 = -29
Reply 1
book is wrong, but so are you...

I get 2(x-3)^2 - 12 = 2x^2 - 12x +6
(edited 13 years ago)
Reply 2
my bad original equation was

2x^2 - 16x + 6
Reply 3
You're right, the book is wrong.
Original post by TimetoSucceed
my bad original equation was

2x^2 - 16x + 6


In that case you're right, the book is wrong.
2x^2 - 16x + 6

2(x^2 - 8x + 3)
2((x-4)^2 - 16 + 3)
2((x-4)^2 - 13)
2(x-4)^2 - 26


so it's this, you were right
(edited 13 years ago)
Original post by Artemis 97
2x^2 - 16x + 6

2(x^2 - 8x + 3)
2((x-4)^2 - 16 + 3)
2((x-4)^2 - 13)
2(x-4)^2 - 26


so it's this, you were right


Neatly edited, was about to point out the mistake :tongue:
Original post by EEngWillow
Neatly edited, was about to point out the mistake :tongue:


:biggrin: lol i just noticed when i posted it and i realised i'd get about 50 people telling me i'd done it wrong instantly :P

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