document.write( "Question 287428: Here is my question:\r
\n" ); document.write( "\n" ); document.write( "Find all possible solutions. Give your answeres in increasing order.\r
\n" ); document.write( "\n" ); document.write( "sqrt(-3x+5)-5=9x\r
\n" ); document.write( "\n" ); document.write( "Thanks so much! \n" ); document.write( "
Algebra.Com's Answer #208315 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find all possible solutions. Give your answers in increasing order.
\n" ); document.write( "\"sqrt%28-3x%2B5%29-5+=9x\"
\n" ); document.write( "Add 5 to both sides
\n" ); document.write( "\"sqrt%28-3x%2B5%29=9x%2B5\"
\n" ); document.write( "square both sides:
\n" ); document.write( "-3x + 5 = (9x+5)^2
\n" ); document.write( "FOIL the right side
\n" ); document.write( "-3x + 5 = 81x^2 + 90x + 25
\n" ); document.write( ":
\n" ); document.write( "Write as quadratic equation
\n" ); document.write( "0 = 81x^2 + 90x + 3x + 25 - 5
\n" ); document.write( "81x^2 + 93x + 20 = 0
\n" ); document.write( "Use the quadratic equation to find x;
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "In this problem a=81; b=93; c=20
\n" ); document.write( "\"x+=+%28-93+%2B-+sqrt%2893%5E2+-+4%2A81%2A20+%29%29%2F%282%2A81%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28-93+%2B-+sqrt%288649-6480+%29%29%2F162+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28-93+%2B-+sqrt%282169+%29%29%2F162+\"
\n" ); document.write( "Two solutions
\n" ); document.write( "\"x+=+%28-93+%2B+46.5725%29%2F162+\"
\n" ); document.write( ":
\n" ); document.write( "x = \"%28-46.427%29%2F162\"
\n" ); document.write( "x = -.28659
\n" ); document.write( "and
\n" ); document.write( "\"x+=+%28-93+-+46.5725%29%2F162+\"
\n" ); document.write( ":
\n" ); document.write( "x = \"%28-139.5725%29%2F162\"
\n" ); document.write( "x = -.86156
\n" ); document.write( ":
\n" ); document.write( "Check both of these solutions in the original equation,
\n" ); document.write( "only x = -.28659 is a solution \n" ); document.write( "
\n" );