document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529656>Question 529656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help me solve the system algebraically<BR>\n" );
document.write( "y=2(x+3)^2-5<BR>\n" );
document.write( "y=14x+17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349668 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can you help me solve the system algebraically<BR>\n" );
document.write( "y=2(x+3)^2-5<BR>\n" );
document.write( "y=14x+17\r<BR>\n" );
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document.write( "Since the 2 equations are equal to y, then we can say that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+3%29%5E2+-+5+=+14x+%2B+17 ALIGN=MIDDLE  ALT=\"2%28x+%2B+3%29%5E2+-+5+=+14x+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+%2B+6x+%2B+9%29+-+5+=+14x+%2B+17 ALIGN=MIDDLE  ALT=\"2%28x%5E2+%2B+6x+%2B+9%29+-+5+=+14x+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+12x+%2B+18+-+5+=+14x+%2B+17 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+12x+%2B+18+-+5+=+14x+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+12x+%2B+13+=+14x+%2B+17 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+12x+%2B+13+=+14x+%2B+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+12x+-+14x+%2B+13+-+17+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+12x+-+14x+%2B+13+-+17+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+2x+-+4+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+2x+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+-+x+-+2%29+=+2%280%29 ALIGN=MIDDLE  ALT=\"2%28x%5E2+-+x+-+2%29+=+2%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+x+-+2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(x - 2)(x + 1) = 0\r<BR>\n" );
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document.write( "x = 2 or – 1\r<BR>\n" );
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document.write( "When x = 2, then:<BR>\n" );
document.write( "y = 14(2) + 17, or 28 + 17, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+45 ALIGN=MIDDLE  ALT=\"y+=+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solution: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+2_when_y+=45%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+2_when_y+=45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When x = - 1, then:<BR>\n" );
document.write( "y = 14(- 1) + 17, or - 14 + 17, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3 ALIGN=MIDDLE  ALT=\"y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solution: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=-+1_when_y+=3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=-+1_when_y+=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should be able to do the check to make sure that the solution pairs make the 2 equations true.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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