document.write( "Question 910622: Together John and Michael can paint a wall in 29 minutes. Alone John needs 13 minutes longer to paint the wall than Michael needs. How much time does John need to paint the wall by himself? Give your answer to the nearest tenth of a minute. \n" ); document.write( "
Algebra.Com's Answer #552586 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1/x+1/(x+13)=1/29
\n" ); document.write( "(29*x*(x+13))/x+(29*x*(x+13))/(x+13)=(29*x*(x+13))/29
\n" ); document.write( "(29*(x+13))+29*x=x*(x+13)
\n" ); document.write( "29*x+377+29*x=x^2+13*x
\n" ); document.write( "58*x+377=x^2+13*x
\n" ); document.write( "x^2-45*x-377=0
\n" ); document.write( "Can it be factored?
\n" ); document.write( "What factors of -377 add up to -45?
\n" ); document.write( "Nevertheless, we will complete the square
\n" ); document.write( "x^2-45*x=377
\n" ); document.write( "Add it.
\n" ); document.write( "x^2-45*x+(-45/2)=377+(-45/2)
\n" ); document.write( "Square it.
\n" ); document.write( "x^2-45*x+(2025/4)=377+(2025/4)
\n" ); document.write( "x^2-45*x+(506.25)=377+(506.25)
\n" ); document.write( "x^2-45*x+(506.25)=883.25
\n" ); document.write( "(x-22.5)^2=883.25
\n" ); document.write( "(x-22.5)^2=883.25
\n" ); document.write( "We will continue.
\n" ); document.write( "x+-22.5=(+-)29.7195222
\n" ); document.write( "x=22.5(+-)29.7195222
\n" ); document.write( "Positive useful answer:
\n" ); document.write( "x=22.5+29.7195222
\n" ); document.write( "One worker is x=52.2195222
\n" ); document.write( "x+13=13+52.2195222
\n" ); document.write( "x+13=65.2195222
\n" ); document.write( "Other worker =65.2195222
\n" ); document.write( "check
\n" ); document.write( "1/x+1/(x+13)=1/29
\n" ); document.write( "1/52.2195222+1/(52.2195222+13)=1/29
\n" ); document.write( "1/52.2195222+1/65.2195222=1/29
\n" ); document.write( "0.19149926e-1+0.15332832e-1=0.34482759e-1
\n" ); document.write( "0.34482759e-1=0.34482759e-1
\n" ); document.write( "ok\r
\n" ); document.write( "\n" ); document.write( "Useless answer:
\n" ); document.write( "x=22.5-29.7195222
\n" ); document.write( "Useless answer is x=-7.2195222
\n" ); document.write( " x =-7.2195222
\n" ); document.write( " This answer is useless because it is Negative
\n" ); document.write( "For real life cases involving time, distance and other measurements, we reject the negative results
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