document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701477>Question 701477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am helping my son with his homework and i need answers to problems to confirm they are correct.  Can you please show the work as well?  \r<BR>\n" );
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document.write( "Use the quadratic formula to solve the following:<BR>\n" );
document.write( "1. X^2 -4x -5=0<BR>\n" );
document.write( "2. t^2+8t+19=0<BR>\n" );
document.write( "3. 8w^2-8w+2=0<BR>\n" );
document.write( "4. 4x^2-8x+1=0\r<BR>\n" );
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document.write( "Find the discriminant of the quadratic equation and give the number and type of solutions for the equation for the following:<BR>\n" );
document.write( "1. x^2-8x+16=0<BR>\n" );
document.write( "2. 8p^2+8p+3=0<BR>\n" );
document.write( "3. 5x^2+20x+21=0<BR>\n" );
document.write( "4. 8n^2-4n+2=5n-11\r<BR>\n" );
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document.write( "THANK YOU SO MUCH </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432441 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am helping my son with his homework and i need answers to problems to confirm they are correct. Can you please show the work as well? <BR>\n" );
document.write( "Use the quadratic formula to solve the following:<BR>\n" );
document.write( "1. X^2 -4x -5=0<BR>\n" );
document.write( "x = [4 +- sqrt(16-4*-5)]/2<BR>\n" );
document.write( "x = [4 +- sqrt(36)]/2<BR>\n" );
document.write( "x = [4+6]/2 or x = [4-6]/2<BR>\n" );
document.write( "x = 5 or x = -1<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "2. t^2+8t+19=0<BR>\n" );
document.write( "x = [-8 +- sqrt(64-4*19)]/2<BR>\n" );
document.write( "x = [-8 +- sqrt(-12)]/2<BR>\n" );
document.write( "x = [-8 +- 2sqrt(3)i]/2<BR>\n" );
document.write( "x = [-4+sqrt(3)i] or x = [-4-sqrt(3)i]<BR>\n" );
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document.write( "3. 8w^2-8w+2=0<BR>\n" );
document.write( "w = [8 +- sqrt(64-4*8*2)]/16<BR>\n" );
document.write( "w = [8 +- sqrt(16)]/16<BR>\n" );
document.write( "w = [8 +- 4]/16<BR>\n" );
document.write( "w = 3/4 or x = 1/4<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "4. 4x^2-8x+1=0<BR>\n" );
document.write( "x = [8 +- sqrt(64-4*4*1)<BR>\n" );
document.write( "x = [8 +- sqrt(48)]/8<BR>\n" );
document.write( "x = [8 +- 4sqrt(3)]/8<BR>\n" );
document.write( "x = 1+(1/2)sqrt(3) or x = 1 - (1/2)sqrt(3)<BR>\n" );
document.write( "================================================ <BR>\n" );
document.write( "Find the discriminant of the quadratic equation and give the number and type of solutions for the equation for the following:<BR>\n" );
document.write( "1. x^2-8x+16=0<BR>\n" );
document.write( "b^2-4ac = 8^2-4*16  = 0 ; 2 equal Real Number solutions<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "2. 8p^2+8p+3=0<BR>\n" );
document.write( "b^2 - 4ac = 8^2-4*8*3 = -32 ; 2 Complex Number solutions<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "3. 5x^2+20x+21=0<BR>\n" );
document.write( "b^2 -4ac = 400-4*5*21 = 400-420 = -20 ; 2 complex Number solutions<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "4. 8n^2-4n+2=5n-11 = 8n^2 -9n+13<BR>\n" );
document.write( "b^2-4ac = 81-4*8*13 < 0 so 2 complex Number solutions<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );