Problema Solution
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
Answer provided by our tutors
2x + 6 will be hypotenuse
(2x + 4) and x will form a right angle and hence the legs of a right triangle
so by pythagorus theorem,
(2x +6)^2 = (2x+4)^2 + x^2
4x^2 + 36 + 24x = 4x^2+16+16x+x^2
x^2 - 8x -20=0
x=10