# SOLUTION: Buried treasure. 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. He

Algebra ->  -> SOLUTION: Buried treasure. 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. He      Log On

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 Click here to see ALL problems on Quadratic Equations Question 737245: Buried treasure. 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? help me set it up please .Answer by ankor@dixie-net.com(16523)   (Show Source): You can put this solution on YOUR website!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. : draw this out and you can see a right triangle with: x = one leg (2x+4) = another leg (2x+6) = the hypotenuse therefore using Pythagoras: x^2 + (2x+4)^2 = (2x+6)^2 FOIL x^2 + 4x^2 + 8x + 8x + 16 = 4x^2 + 12x + 12x + 36 5x^2 + 16x + 16 = 4x^2 + 24x + 36 combine like terms in the left 5x^2 - 4x^2 + 16x - 24x + 16 - 24x = 0 a quadratic equation x^2 - 8x - 20 = 0 Factor to: (x-10)(x+2) = 0 the positive solution x = 10 : Walk 10 paces north, 24 paces east, that point will be 26 paces from C.R.