SOLUTION: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!! Problem Solvi

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Question 167133This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I can't figure it out. I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Problem Solving Using Polynomial Equations
Solve each problem. If there are two correct answers, give both of them.
The top of a 15-foot ladder is 3ft farther up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom of the wall? This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="distance from wall"

"The top of a 15-foot ladder is 3ft farther up a wall than the foot of the ladder is from the bottom of the wall"
__ x+3

by Pythagoras __ x^2+(x+3)^2=15^2 __ x^2+x^2+6x+9=225 __ 2x^2+6x-216=0 __ x^2+3x-108=0

factoring __ (x+12)(x-9)=0

x+12=0 __ x=-12 __ negative value not realistic

x-9=0 __ x=9