document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197024>Question 197024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> thank you in advance for any help with these:\r<BR>\n" );
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document.write( "1. 15x^4 - 11x^2 + 2 = 0    use radical as needed\r<BR>\n" );
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document.write( "2. x^2 + 6x - 4 = 0        simply, use radical if needed\r<BR>\n" );
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document.write( "3. 4x(x - 1)- 5x(x)= 3     solve for x\r<BR>\n" );
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document.write( "4. 8x^2 - 6x - 2 = 0  state value of discriminant; one or two real soulution? or two imaginary solution?<BR>\n" );
document.write( "thank you for any help you can provide... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147692 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=147692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 15x^4 - 11x^2 + 2 = 0 use radical as needed <BR>\n" );
document.write( "15x^4 -6x^2-5x^2+2 = 0<BR>\n" );
document.write( "3x^2(5x^2-2) - (5x^2-2) = 0<BR>\n" );
document.write( "(5x^2-2)(3x^2-1) = 0<BR>\n" );
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document.write( "5x^2-2 = 0 or 3x^2-1 = 0<BR>\n" );
document.write( "x^2 = 2/5 or x^2 = 1/3<BR>\n" );
document.write( "x = +/-sqrt(2/5) or x = +/-sqrt(1/3)<BR>\n" );
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document.write( "2. x^2 + 6x - 4 = 0 simply, use radical if needed <BR>\n" );
document.write( "x = [-6 +-sqrt(36-4*1*-4)]/2<BR>\n" );
document.write( "x = [-6 +-sqrt(52)]/2<BR>\n" );
document.write( "x = [-3 +- sqrt(13)]<BR>\n" );
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document.write( "3. 4x(x - 1)- 5x(x)= 3 solve for x<BR>\n" );
document.write( "4x^2-4 -5x^2 - 3 = 0<BR>\n" );
document.write( "-x^2 - 7 = 0<BR>\n" );
document.write( "x^2 = -7<BR>\n" );
document.write( "x = +/-isqrt(7)<BR>\n" );
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document.write( "4. 8x^2 - 6x - 2 = 0 state value o<BR>\n" );
document.write( "4x^2 - 3x - 1 = 0<BR>\n" );
document.write( "4x^2 - 4x + x -1 = 0<BR>\n" );
document.write( "4x(x-1) + (x-1) = 0<BR>\n" );
document.write( "(x-1)(4x+1) = 0<BR>\n" );
document.write( "x = 1 or x = -1/4<BR>\n" );
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document.write( "f discriminant; one or two real soulution? or two imaginary solution?<BR>\n" );
document.write( "If discriminant = 0 ; two equal Real solutions<BR>\n" );
document.write( "If discriminant > 0 ; two unequal Real solutions<BR>\n" );
document.write( "If discriminant < 0 ; two unequal complex solutions<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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