document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345958>Question 345958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/4=3-2x-1/x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247373 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)/(4)=3-2x-(1)/(x)+2 All / signs stand for +- and all  ~ signs stand for the square root.\r<BR>\n" );
document.write( "\n" );
document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "3-2x-(1)/(x)+2=(1)/(4)\r<BR>\n" );
document.write( "\n" );
document.write( "Add 2 to 3 to get 5.<BR>\n" );
document.write( "5-2x-(1)/(x)=(1)/(4)\r<BR>\n" );
document.write( "\n" );
document.write( "Find the LCD (least common denominator) of -2x+5-(1)/(x)+(1)/(4).<BR>\n" );
document.write( "Least common denominator: 4x\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply each term in the equation by 4x in order to remove all the denominators from the equation.<BR>\n" );
document.write( "-2x*4x+5*4x-(1)/(x)*4x=(1)/(4)*4x\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "-8x^(2)+20x-4=(1)/(4)*4x\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the right-hand side of the equation by simplifying each term.<BR>\n" );
document.write( "-8x^(2)+20x-4=x\r<BR>\n" );
document.write( "\n" );
document.write( "Since x contains the variable to solve for, move it to the left-hand side of the equation by subtracting x from both sides.<BR>\n" );
document.write( "-8x^(2)+20x-4-x=0\r<BR>\n" );
document.write( "\n" );
document.write( "Since 20x and -x are like terms, add -x to 20x to get 19x.<BR>\n" );
document.write( "-8x^(2)+19x-4=0\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply each term in the equation by -1.<BR>\n" );
document.write( "-8x^(2)*-1+19x*-1-4*-1=0*-1\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the left-hand side of the equation by multiplying out all the terms.<BR>\n" );
document.write( "8x^(2)-19x+4=0*-1\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply 0 by -1 to get 0.<BR>\n" );
document.write( "8x^(2)-19x+4=0\r<BR>\n" );
document.write( "\n" );
document.write( "Use the quadratic formula to find the solutions.  In this case, the values are a=8, b=-19, and c=4.<BR>\n" );
document.write( "x=(-b\~(b^(2)-4ac))/(2a) where ax^(2)+bx+c=0\r<BR>\n" );
document.write( "\n" );
document.write( "Use the standard form of the equation to find a, b, and c for this quadratic.<BR>\n" );
document.write( "a=8, b=-19, and c=4\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute in the values of a=8, b=-19, and c=4.<BR>\n" );
document.write( "x=(-(-19)\~((-19)^(2)-4(8)(4)))/(2(8))\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply -1 by each term inside the parentheses.<BR>\n" );
document.write( "x=(19\~((-19)^(2)-4(8)(4)))/(2(8))\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the section inside the radical.<BR>\n" );
document.write( "x=(19\~(233))/(2(8))\r<BR>\n" );
document.write( "\n" );
document.write( "Simplify the denominator of the quadratic formula.<BR>\n" );
document.write( "x=(19\~(233))/(16)\r<BR>\n" );
document.write( "\n" );
document.write( "First, solve the + portion of \.<BR>\n" );
document.write( "x=(19+~(233))/(16)\r<BR>\n" );
document.write( "\n" );
document.write( "Next, solve the - portion of \.<BR>\n" );
document.write( "x=(19-~(233))/(16)\r<BR>\n" );
document.write( "\n" );
document.write( "The final answer is the combination of both solutions.<BR>\n" );
document.write( "x=(19+~(233))/(16),(19-~(233))/(16)_x=2.14,0.23 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );