NinjaDevo

Oh i see, my factoring was off.

Thanks CPhill.

I'm not quite sure what you mean by "r and s are the roots of..."

Do you mean that r and s are the two values for x in this equation?

This is how I'll solve it. If I misinterpreted the question let me know.

2x² -5x -7 =0

Let's factor the polynomial and then find the values of x.

(2x+7)(x-1) = 0

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(2x+7) = 0

2x = -7

x = -3½

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(x-1) = 0

x = 1

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So let's say r = 3½ and s = 1

Let's put this in the equation.

r/s + s/r

3.5/1 + 1/3.5

12.25/3.5 + 1/3.5

13.25/3.5

Well...that would be the answer.

Sorry if I totally bombed this, I think the problem was that I didn't really understand the question.

This so reminds me of this song!

Well, you can turn this into a polynomial if that's what your getting at...

(x+7)² 

(x+7)(x+7)  

x²+14x+49

Para encontrar el área de un rectángulo, multiplica la altura de la longitud.

El área de este rectángulo es 98 (7x14)

So, we have to simplify [(x+5)-5]²

Based on the order of operations, we have to do everything in the () parentheses, then everything in the [] parentheses, then square that answer.

Think about this for a second. If you were to take a number, add five to it, then subtract five from it...what would you be left with? You'd be left with that original number!

Just to show you this, ill put in a couple different numbers for x.

--------------

[(9+5)-5]²

[(14)-5]²

 9²

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[(7+5)-5]²

[(12)-5]²

7²

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So, we can simplify this expression to x², because nomater what x is, if we add 5 then subtract 5 from it, we will still get x, then we square it to get x².

$${\sqrt{{\mathtt{168\,933\,529\,368}}}} = {\mathtt{411\,015.242\: \!257\: \!510\: \!445\: \!237\: \!6}}$$

$${\sqrt[{{\mathtt{3}}}]{{\mathtt{26}}}} = {\mathtt{2.962\: \!496\: \!068\: \!407\: \!370\: \!5}}$$