document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823269>Question 823269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.)The sum of the squares of 2 consecutive negative integers is 41. What are the  numbers?<BR>\n" );
document.write( "Which of the following equations is the result of using the factoring method to solve the problem?<BR>\n" );
document.write( "(n - 5)(n - 4) = 0<BR>\n" );
document.write( "(n - 5)(n + 4) = 0<BR>\n" );
document.write( "(n + 5)(n - 4) = 0<BR>\n" );
document.write( "(n + 5)(n + 4) = 0\r<BR>\n" );
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document.write( "2.) 1/5x^2=x-4/5<BR>\n" );
document.write( "{-1, -4}<BR>\n" );
document.write( "{1, -4}<BR>\n" );
document.write( "{1, 4}\r<BR>\n" );
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document.write( "3.)Write the quadratic equation in factored form. Be sure to write the entire equation.\r<BR>\n" );
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document.write( "x 2 - 5x - 24 = 0\r<BR>\n" );
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document.write( "4.)Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.\r<BR>\n" );
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document.write( "The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495372 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "you have four different problems here!<BR>\n" );
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document.write( "I will do the first two for you:<BR>\n" );
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document.write( "problem 1:<BR>\n" );
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document.write( "y = x + 1<BR>\n" );
document.write( "xx + yy = 41<BR>\n" );
document.write( "---<BR>\n" );
document.write( "xx + yy = 41<BR>\n" );
document.write( "xx + (x + 1)(x + 1) = 41<BR>\n" );
document.write( "xx + xx + 2x + 1 = 41<BR>\n" );
document.write( "2xx + 2x - 40 = 0<BR>\n" );
document.write( "xx + x - 20 = 0<BR>\n" );
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document.write( "factoring:<BR>\n" );
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document.write( "(x - 4)(x + 5)<BR>\n" );
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document.write( "problem 2:<BR>\n" );
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document.write( "1/5x^2 = x - 4/5<BR>\n" );
document.write( "y = 1/5x^2 - x + 4/5 = 0<BR>\n" );
document.write( "y = 0.2x^2 - x + 0.8 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=0.2, b=-1, and c=0.8<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "0.2 -1 0.8<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
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document.write( "this quadratic has two real roots (the x-intercepts), which are:<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "x = 1<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "y = 1<BR>\n" );
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document.write( "NOTE: since this answer doesn't match any of the answers given in the problem statement, the problem statement probably contains errors.<BR>\n" );
document.write( "if this answer is not what you expected, check the problem statement, fix any errors, and resubmit the question.<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "distance from the bottom of the ladder to building = 3 m<BR>\n" );
document.write( "distance from the ground to the top of ladder = 4 m<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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