document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296154>Question 296154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> p^2+3/4p+1/4=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213459 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p^(2)+(3)/(4)*p+(1)/(4)=0\r<BR>\n" );
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document.write( "Multiply (3)/(4) by p to get (3p)/(4).<BR>\n" );
document.write( "p^(2)+(3p)/(4)+(1)/(4)=0\r<BR>\n" );
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document.write( "Combine all similar expressions.<BR>\n" );
document.write( "p^(2)+(3p+1)/(4)=0\r<BR>\n" );
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document.write( "Multiply each term by a factor of 1 that will equate all the denominators.  In this case, all terms need a denominator of 4.<BR>\n" );
document.write( "p^(2)*(4)/(4)+(3p+1)/(4)=0\r<BR>\n" );
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document.write( "Multiply p^(2) by 4 to get 4p^(2).<BR>\n" );
document.write( "(4p^(2))/(4)+(3p+1)/(4)=0\r<BR>\n" );
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document.write( "The numerators of expressions that have equal denominators can be combined.  In this case, ((4p^(2)))/(4) and ((3p+1))/(4) have the same denominator of 4, so the numerators can be combined.<BR>\n" );
document.write( "((4p^(2))+(3p+1))/(4)=0\r<BR>\n" );
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document.write( "Combine all similar expressions in the polynomial.<BR>\n" );
document.write( "(4p^(2)+3p+1)/(4)=0\r<BR>\n" );
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document.write( "Multiply each term in the equation by 4.<BR>\n" );
document.write( "4p^(2)+3p+1=0\r<BR>\n" );
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document.write( "Use the quadratic formula to find the solutions.  In this case, the values are a=4, b=3, and c=1.<BR>\n" );
document.write( "p=(-b\~(b^(2)-4ac))/(2a) where ap^(2)+bp+c=0\r<BR>\n" );
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document.write( "Substitute in the values of a=4, b=3, and c=1.<BR>\n" );
document.write( "p=(-3\~((3)^(2)-4(4)(1)))/(2(4))\r<BR>\n" );
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document.write( "Simplify the section inside the radical.<BR>\n" );
document.write( "p=(-3\i~(7))/(2(4))\r<BR>\n" );
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document.write( "Simplify the denominator of the quadratic formula.<BR>\n" );
document.write( "p=(-3\i~(7))/(8)\r<BR>\n" );
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document.write( "Simplify the expression to solve for the + portion of the \.<BR>\n" );
document.write( "p=(-3+i~(7))/(8)\r<BR>\n" );
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document.write( "Simplify the expression to solve for the - portion of the \.<BR>\n" );
document.write( "p=(-3-i~(7))/(8)\r<BR>\n" );
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document.write( "The final answer is the combination of both solutions.<BR>\n" );
document.write( "p=(-3+i~(7))/(8),(-3-i~(7))/(8) </SPAN>\n" );
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