We use cookies to give you the best experience possible. By continuing we’ll assume you’re on board with our cookie policy

Check Writers' Offers

What's Your Topic?

Hire a Professional Writer Now

The input space is limited by 250 symbols

What's Your Deadline?

Choose 3 Hours or More.
2/4 steps

How Many Pages?

3/4 steps

Sign Up and Get Writers' Offers

"You must agree to out terms of services and privacy policy"
Get Offer

Pythagoras Theorem and Financial polynomials

Paper type: Essay
Pages: 4 (894 words)
Categories: Math, Pythagoras, Science, Scientist, Triangle
Downloads: 25
Views: 493

            Ahmed and Vanessa have interest in locating a treasure, which is buried. It is my responsibility to help the two locate it. First, I will help them locate it by the use of Pythagorean quadratic. As per Ahmed’s half, the treasure is buried in the desert (2x + 6) paces form the Castle Rock while as per Vanessa’s half she has to walk (x) paces to the north then walk (2x + 4) paces to the east.

According to the Pythagorean theorem, every right angled triangle with length (a) and (b) as well as a hypotenuse (c), has a relationship of (a2 + b2 = c2) (Larson & Hostetler, 2009).

           In Ahmed and Vanessa’s case, I will let a=x, b =2x+4 and then c=2x+6. To follow, will be my efforts to put the measurements above into the real Pythagoras theorem equation as follows:

X2+ (2x+4)2=(2x+6)2 this is the equation formed out of the Pythagoras Theorem

X2+4×2+16x+16 = 4×2+ 24x+36 are the binomials squared

x2 & 4×2 on both sides can be subtracted out.

X2+16x+16 = 24x +36 subtract 16x from both sides

X2+16 = 8x+36 now subtract 36 from both sides

X2-20 = 8x

X2-8x-20=0 I will use to solve the function by factoring using the zero factor.

(x-) (x+) the coefficient of x2

Application and selection from the following (-2, 10: -10,2: -5,4; -4, -5)

In this case, it seems that I am going to use -10 and 2 is as per how the expression looks like this (x-10)(x+2)=0

X-10=0 or x+2=0 creation of a complex equation

x=10 or x=-2 these are the two probable resolutions to this equation.

             One of the two calculated solutions is an extraneous solutions, as it do not work with such sceneries. The remaining solution I only have is (X=10) as the number of paces Ahmed and Vanessa have to accomplish to find the lost treasure. As a result the treasure is 10 paces to the north 2x+4 connect the 10, now its 2(10)+4=24 paces to the east of Castle Rock, or 2x+6= 2(10)+6=26 paces from Castle Rock.

Financial polynomial

            For the case of financial polynomials, I have first to write the polynomial without the parenthesis. Following the above, I have to solve for p= 2000 + r = 10% for part A and then solve for p= $5670 + r = 3.5% for part B, without the parenthesis as follows:

P + P r + P r2/4 (the original polynomial) to reach this I followed the following steps:

(1 + r/2)2 This is because it looks as if it is foil

P(1 + r/2)

P (1+r/2)(1+r/2) After the two equations I combine like terms. Because I am multiplying by 2 on r/2, it cancels out both 2’s and I then get left with is r as follows;

P(1+ r/2 + r/2 + r2/4)

P(1 + 2(r/2) + r2/4)

I then write in descending order (P + Pr + Pr2)

To solve for P=2000 and r=10% the following follows;

P + Pr + Pr2/4

2000 + 2000 ×(0.10) +2000× 0.1024

2000 + 200 + 5 = $2205

P(1+ r/2)2

2000×( 1 + .10)2


2000×( 1.1025) = $2205

For part B I will solve for P=5670 and r= 3.5%

P + Pr + P ×(r2/4)

5670 + 5670× (0.035) + 5670 × 0.0352

5670 + 198.45 + 1.7364375 = 5870.1864375

This is approximately ($5870.19)

The problem 70 on page 311 has the following steps;

(-9×3 + 3×2 – 15x) ÷ (-3x)

The Dividend is (-9×3 + 3×2 – 15x), and the Divisor is (-3x).

The Dividend is (-9×3 + 3×2 – 15x), and the Divisor is (-3x).

-9×3 + 3×2 – 15x

-3xAfter I divide -9 by -3 which equals +3. The x on the bottom cancels the x from the top.

-9×3 + 3×2 – 15x

-3x -3x -3x

-9* x*x* x

I am now left with 3×2 for the first part of the polynomial.

-3 * x

-9*x *x * x

-3 * x

I first divide 3 by -3, which equals -1 and the x from the bottom cancels out one of the x’s from the top.

-9×3 + 3×2 – 15x

-3x -3x -3x

3 *x *x

At this point I am left with -1x, which simplifies to just –x, as the second part of the polynomial.


-3 *x

3 *x * x

-3 * x

Then I divide -15 by -3, which equals positive 5, and the x on the bottom cancels out the x on the top, so you do not have any x’s to carry onto the answer of the equation.

-9×3 + 3×2 – 15x

-3x -3x -3x

-15 *x

At this point I am left with only 5 for the last part of the polynomial, and the answer is

3×2 – x + 5.

-3 * x

-15 * x

-3 * x

            The negative sign from the -3 x changes the plus sign in the equation to a minus sign, it changes the minus sign to a plus sign in the final answer, and the equation is in Descending order.


Larson, R., & Hostetler, R. P. (2009). Elementary and intermediate algebra. Boston, Mass: Houghton Mifflin

Source document

Cite this essay

Pythagoras Theorem and Financial polynomials. (2015, Dec 06). Retrieved from https://studymoose.com/re-pythagoras-theorem-and-financial-polynomials-essay

How to Avoid Plagiarism
  • Use multiple resourses when assembling your essay
  • Use Plagiarism Checker to double check your essay
  • Get help from professional writers when not sure you can do it yourself
  • Do not copy and paste free to download essays
Get plagiarism free essay

Not Finding What You Need?

Search for essay samples now


Your Answer is very helpful for Us
Thank you a lot!