Quadratic Equations Research Paper

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Pythagorean Theorem

Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x?

Solving for x, the solution involves plugging in the binomials mentioned in the problem using the Pythagorean theorem.

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The Pythagorean theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagorean theorem is expressed in the following equation: a2 + b2 = c2

The problem gives information about the other two sides; in finding "x," both Ahmed and Vanessa can triangulate the location of the buried treasure.

To start, plug in the binomials given in the problem into the Pythagorean theorem equation. Let a=x, b=2x+4, and c=2x+6:

(x)2 +….....

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