document.write( "Question 628433: When a stone is dropped into a deep well, the number of seconds t until the sound of a splash is heard is given by the formula
\n" ); document.write( "T=√x/4+x/1100
\n" ); document.write( "where x is the depth of the well in feet. If it takes 9 seconds to hear a splash, how deep (to the
\n" ); document.write( "nearest foot) is the well? \n" ); document.write( "
Algebra.Com's Answer #395610 by lwsshak3(11628)\"\" \"About 
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When a stone is dropped into a deep well, the number of seconds t until the sound of a splash is heard is given by the formula
\n" ); document.write( "T=√x/4+x/1100
\n" ); document.write( "where x is the depth of the well in feet. If it takes 9 seconds to hear a splash, how deep (to the
\n" ); document.write( "nearest foot) is the well?
\n" ); document.write( "T=√x/4+x/1100
\n" ); document.write( "9=√x/4+x/1100
\n" ); document.write( "LCD:4*1100
\n" ); document.write( "1100√x+4x=9*4*1100=39600
\n" ); document.write( "1100√x+4x-39600=0
\n" ); document.write( "275√x+x-9900=0
\n" ); document.write( "let u=√x
\n" ); document.write( "u^2=x
\n" ); document.write( "..
\n" ); document.write( "u^2+275u-9900=0
\n" ); document.write( "Solve by following quadratic formula:
\n" ); document.write( "\"+u=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "a=1, b=275, c=9900
\n" ); document.write( "ans:
\n" ); document.write( "u=32.2=√x
\n" ); document.write( "square both sides
\n" ); document.write( "x≈1037 ft
\n" ); document.write( " \n" ); document.write( "
\n" );