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BeautyM
 Post subject: Please help
PostPosted: Mon, 9 Apr 2012 13:03:02 UTC 
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I know this might sound crazy but I need help.

what is the answer of the following

(3 + x)ᵃ =

it is to the power a
The a is not that visible.

The other one is
By using the method of completing the square
3 - ½x - ¼x² can be written as


Thank you in advance.
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outermeasure
 Post subject: Re: Please help
PostPosted: Mon, 9 Apr 2012 13:27:42 UTC 
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Topic has nothing to do with differential equations. Moved to Algebra.

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\begin{aligned} Spin(1)&=O(1)=\mathbb{Z}/2&\quad&\text{and}\\ Spin(2)&=U(1)=SO(2)&&\text{are obvious}\\ Spin(3)&=Sp(1)=SU(2)&&\text{by }q\mapsto(\mathop{\mathrm{Im}}\mathbb{H}\ni p\mapsto qp\bar{q})\\ Spin(4)&=Sp(1)\times Sp(1)&&\text{by }(q_1,q_2)\mapsto(\mathbb{H}\ni p\mapsto q_1p\bar{q_2})\\ Spin(5)&=Sp(2)&&\text{by }\mathbb{HP}^1\cong S^4_{round}\hookrightarrow\mathbb{R}^5\\ Spin(6)&=SU(4)&&\text{by the irrep }\Lambda_+\mathbb{C}^4 \end{aligned}
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Shadow
 Post subject: Re: Please help
PostPosted: Mon, 9 Apr 2012 14:11:47 UTC 
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BeautyM wrote:
I know this might sound crazy but I need help.

what is the answer of the following

(3 + x)ᵃ =

it is to the power a
The a is not that visible.

The other one is
By using the method of completing the square
3 - ½x - ¼x² can be written as


Thank you in advance.


The first one is the binomial theorem, the second one do you know how to complete the square?

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