SOLUTION: Ahmed has half 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 t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Ahmed has half 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 t      Log On


   



Question 906355: Ahmed has half 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 on must get to Castle Rock, walk x paces to the north, and then walk 2x + 4paces east. With the shared information what is x. Now draw a diagram which includes the location of Castle Rock and the dimensions of a triangle with the given number of paces.
Demonstrate the solution to this problem

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(2x+6)^2=(2x+4)^2+x^2
4x^2+24x+36 = 4x^2+16x+16 +x^2
-x^2+8x+20 = 0
x^2-8x-20 = 0
(x-10)*(x+2)
reject negative answers
x=10