SOLUTION: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.

Question 955844: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.
Find the length, in feet, of the ladder.
Assume that a right angle is formed by the wall and the floor.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!

Subtract from each side.
Subtract 4x from each side.

x(x-6)=0
x=6ft
2x+1=2(6ft)+1=13 feet ANSWER: The ladder is 13 feet long.
CHECK:

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SOLUTION: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x&#8722;1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.

SOLUTION: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.