User:Oxguy3/My Name is Tenerence Love math

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{{seealso|Talk:Rap Song#New_Math}}
{{seealso|Talk:Rap Song#New_Math}}
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While many have tried to solve the math problem presented during the R&B break in [[Rap Song]], there is no widely agreed upon solution. I'd like to put an end to the confusion. (note: for sake of sanity, let <math>x = My Name is Tenerence Love</math>)
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While many have tried to solve the math problem presented during the R&B break in [[Rap Song]], there is no widely agreed upon solution. I'd like to put an end to the confusion. (note: for sake of sanity, let <math>x = \text{My Name is Tenerence Love}</math>). Before we can solve this problem, we first must decide upon a written form to use. There is a more logical equation, and an order of operations-based equation.
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Before we can solve this problem, we first must decide upon a written form to use. One of the most obvious and feasible forms of the equation is <math>\frac{x+x}x = x + r3</math>. However, to actually solve this equation, we must put the remainder in a mathematical representation. A remainder actually means <math>\frac {remainder} {denominator of original division}</math>. Therefore, we can change the equation to <math>\frac{x+x}x = x + \frac 3 x</math>.
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== Using the logical equation ==
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One of the most obvious and feasible forms of the equation is <math>\frac{x+x}x = x + r3</math>. However, to actually solve this equation, we must put the remainder in a mathematical representation. A remainder actually means <math>\frac {\text{remainder}} {\text{denominator of original division}}</math>. Therefore, we can change the equation to <math>\frac{x+x}x = x + \frac 3 x</math>.
Now, let's do math! I'll just simplify this equation step by step (yes I know I didn't do this very efficiently):
Now, let's do math! I'll just simplify this equation step by step (yes I know I didn't do this very efficiently):
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{|
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{| class="wikitable" |
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!Equation
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!width=35%|Equation
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!Notes
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!width=65%|Notes
|-
|-
|<math>\frac{x+x}x = x + \frac 3 x</math>
|<math>\frac{x+x}x = x + \frac 3 x</math>
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|Plugged into quadratic formula
|Plugged into quadratic formula
|-
|-
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|<math>...</math>
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|<math>x = \frac {-2 \pm \sqrt{4-12}}{-2}</math>
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|...
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|Began to simplify
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|-
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|<math>x = \frac {-2 \pm 2i\sqrt{2}}{-2}</math>
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|Further simplification
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|-
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|<math>x = 1 \pm i\sqrt{2}</math>
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|Maximum simplification
|}
|}
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== Using the order of operations-based equation ==
 +
While Tenerence Love's lyrics suggest that the equation should be solved left to right rather than by order of operations, this is not confirmed; the possibility of an order of operations-based answer must be explored. This alternate equation would be written <math>x + \frac x x = x + r3</math>. As explained in the previous section, the remainder can be changed to <math>x + \frac x x = x + \frac 3 x</math>. Let's do math again!
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 +
{| class="wikitable" |
 +
!width=35%|Equation
 +
!width=65%|Notes
 +
|-
 +
|<math>x + \frac x x = x + \frac 3 x</math>
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|Starting point
 +
|-
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|<math>\frac x x = \frac 3 x</math>
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|Subtracted <math>x</math>
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|-
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|<math>x = 3</math>
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|Multiplied by <math>x</math>
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|}
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<!--<math>\frac{x+x}x = x\mbox{ r}3</math>, that is: <math>\frac{x+x}x = x + \frac 3 x</math> which solves to <math>x=1 \plusmn \sqrt 2 i\,</math>-->
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By this logic, we come to a real solution - <math>\text {My Name is Tenerence Love} = 3</math>.

Revision as of 04:07, 22 November 2011

See also Talk:Rap Song#New_Math

While many have tried to solve the math problem presented during the R&B break in Rap Song, there is no widely agreed upon solution. I'd like to put an end to the confusion. (note: for sake of sanity, let x = My Name is Tenerence Love). Before we can solve this problem, we first must decide upon a written form to use. There is a more logical equation, and an order of operations-based equation.

Using the logical equation 

One of the most obvious and feasible forms of the equation is \frac{x+x}x = x + r3. However, to actually solve this equation, we must put the remainder in a mathematical representation. A remainder actually means \frac {\text{remainder}} {\text{denominator of original division}}. Therefore, we can change the equation to \frac{x+x}x = x + \frac 3 x.

Now, let's do math! I'll just simplify this equation step by step (yes I know I didn't do this very efficiently):

Equation Notes
\frac{x+x}x = x + \frac 3 x Starting equation
\frac{2x}x = x + \frac 3 x Simplified x + x to 2x
2 = x + \frac 3 x Canceled out xs in the fraction on the left
2 - x =\frac 3 x Subtracted x
\frac 1 {2 - x} =\frac x 3 Inversed equation (put everything to the power of − 1)
1\times3 = x(2-x) Cross-multiplied the fractions
3 = 2x − x2 Multiplied both sides out
0 = − x2 + 2x − 3 Arranged into standard form
x = \frac {-2 \pm \sqrt{2^2-4(-1)(-3)}}{2(-1)} Plugged into quadratic formula
x = \frac {-2 \pm \sqrt{4-12}}{-2} Began to simplify
x = \frac {-2 \pm 2i\sqrt{2}}{-2} Further simplification
x = 1 \pm i\sqrt{2} Maximum simplification

Using the order of operations-based equation

While Tenerence Love's lyrics suggest that the equation should be solved left to right rather than by order of operations, this is not confirmed; the possibility of an order of operations-based answer must be explored. This alternate equation would be written x + \frac x x = x + r3. As explained in the previous section, the remainder can be changed to x + \frac x x = x + \frac 3 x. Let's do math again!

Equation Notes
x + \frac x x = x + \frac 3 x Starting point
\frac x x = \frac 3 x Subtracted x
x = 3 Multiplied by x

By this logic, we come to a real solution - My Name is Tenerence Love = 3.

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