document.write( "Question 339347: A 26ft. long ladder rest against a wall. The distance from the base of the wall to the bottom of the ladder is x. The height at which the ladder rest against the wall is x + 14. Find the distance, x, from the base of the wall to the bottom of the ladder. \r
\n" ); document.write( "\n" ); document.write( "I have drawn out a figure and listed the information given and then I am stuck. I just can't seem to put this one together, maybe my brain is just too tired?\r
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Algebra.Com's Answer #243210 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
A 26ft. long ladder rest against a wall. The distance from the base of the wall to the bottom of the ladder is x. The height at which the ladder rest against the wall is x + 14. Find the distance, x, from the base of the wall to the bottom of the ladder.
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\n" ); document.write( "Apply the Pythagorean theorem:
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\n" ); document.write( "x^2 + (x+14)^2 = 26^2
\n" ); document.write( "x^2 + (x+14)(x+14) = 676
\n" ); document.write( "x^2 + (x^2+14x+14x+196) = 676
\n" ); document.write( "2x^2 + 28x + 196 = 676
\n" ); document.write( "dividing both sides by 2:
\n" ); document.write( "x^2 + 14x + 98 = 338
\n" ); document.write( "x^2 + 14x - 240 = 0
\n" ); document.write( "(x+24)(x-10) = 0
\n" ); document.write( "x = {-24, 10}
\n" ); document.write( "We can toss out the negative solution leaving:
\n" ); document.write( "x = 10 feet
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