document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133934>Question 1133934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that p is a root of equations x^2-x-q=0 and -x^2-7x+q+8=0, find the values of p and q </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751199 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x² - x - q = 0<BR>\n" );
document.write( "-x² - 7x + q = -8   ← subtracted 8 from both sides of second equation<BR>\n" );
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document.write( "-8x = -8   ← added the two equations<BR>\n" );
document.write( "x = 1\r<BR>\n" );
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document.write( "Since p \"is a root\", then p = 1\r<BR>\n" );
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document.write( "If x = 1:<BR>\n" );
document.write( "(1)² - 1 - q = 0  ← substituted 1 into first equation<BR>\n" );
document.write( "1 - 1 - q = 0  ← evaluated exponent<BR>\n" );
document.write( "-q = 0  ← subtracted<BR>\n" );
document.write( "q = 0  ← divided each side by -1\r<BR>\n" );
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document.write( "Check by putting 1 back in for x and 0 in for q into first equation<BR>\n" );
document.write( "(1)² - 1 - 0 = 0  ← substituted 1 for x and 0 for q into 1st equation<BR>\n" );
document.write( "1 - 1 - 0 = 0  ← evaluated exponent<BR>\n" );
document.write( "0 = 0 checks\r<BR>\n" );
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document.write( "Check by putting 1 back in for x and 0 in for q into second equation<BR>\n" );
document.write( "-(1)² - 7(1) + 0 + 8 = 0  ← substituted 1 for x and 0 for q into 2nd equation<BR>\n" );
document.write( "-1 - 7 + 0 + 8 = 0  ← evaluated exponent<BR>\n" );
document.write( "0 = 0 checks\r<BR>\n" );
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document.write( "p = 1 and q = 0<BR>\n" );
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