document.write( "Question 131746: Please help me solve this word problem:\r
\n" ); document.write( "\n" ); document.write( "A carpenter needs to cut a brace to support a vertical wall stud. The brace should be 7 feet less than 3 times the length of the stud. If the brace will be anchored on the floor 15 feet away from the stud, how long should the brace be? (Hint: the brace is the hypotenuse.)
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Algebra.Com's Answer #96197 by checkley71(8403)\"\" \"About 
You can put this solution on YOUR website!
a^2+b^2=c^2
\n" ); document.write( "x^2+15^2=(3x-7)^2
\n" ); document.write( "x^2+225=9x^2-42x+49
\n" ); document.write( "9x^2-x^2-42x+49-225=0
\n" ); document.write( "8x^2-42x-176=0
\n" ); document.write( "2(4x^2-21x-88)=0
\n" ); document.write( "2(4x+11)(x-8)=0
\n" ); document.write( "4x+11=0
\n" ); document.write( "4x=-11
\n" ); document.write( "x=-11/4
\n" ); document.write( "x=-2.75 answer.
\n" ); document.write( "x-8=0
\n" ); document.write( "x=8 answer.
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