document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421483>Question 421483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve. 6x^4-7x^2=0 I know I cannot factor and have to use the quadratic formula.<BR>\n" );
document.write( "This is what I have but not 100% sure if I am doing my math correctly. Please Help!\r<BR>\n" );
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document.write( "-(-7)+&#8730;(-7)^2-4(6)(2)/2(6) = 7+&#8730;1/12 or 7-&#8730;1/12\r<BR>\n" );
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document.write( "Please let me know if these are correct or not! Thanks sooooo much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294342 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you start off with 6x^4 - 7x^2 = 0\r<BR>\n" );
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document.write( "factor out an x^2 to get:\r<BR>\n" );
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document.write( "x^2 * (6x^2 - 7) = 0\r<BR>\n" );
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document.write( "your factors are x^2 and 6x^2 - 7\r<BR>\n" );
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document.write( "set x^2 = 0 and you get x = +/- sqrt(0) = 0\r<BR>\n" );
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document.write( "set 6x^2 - 7 = 0\r<BR>\n" );
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document.write( "add 7 to both sides of the equation to get 6x^2 = 7\r<BR>\n" );
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document.write( "divide both sides of the equation by 6 to get x^2 = 7/6\r<BR>\n" );
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document.write( "take square root of both sides of equation to get x = +/- sqrt(7/6)\r<BR>\n" );
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document.write( "it does not appear that you needed to use the quadratic formula.\r<BR>\n" );
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document.write( "your answer should be:\r<BR>\n" );
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document.write( "x = 0<BR>\n" );
document.write( "x = + sqrt(7/6)<BR>\n" );
document.write( "x = - sqrt(7/6)\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "6x^4 - 7x^2 = 0\r<BR>\n" );
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document.write( "when x = 0, this comes out to be equal to 0.\r<BR>\n" );
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document.write( "when x = + sqrt(7/6) this comes out to be 0.\r<BR>\n" );
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document.write( "when x = - sqrt(7/6) this also comes out to be 0.\r<BR>\n" );
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document.write( "those are your answers.\r<BR>\n" );
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document.write( "in order to apply the quadratic equation, you would have had to factor out the x^2 first to get:\r<BR>\n" );
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document.write( "x^2 * (6x^2 - 7) = 0\r<BR>\n" );
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document.write( "you could then have applied the quadratic formula to 6x^2 - 7 = 0\r<BR>\n" );
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document.write( "since the standard form of a quadratic equation is equal to:\r<BR>\n" );
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document.write( "ax^2 + bx + c = 0\r<BR>\n" );
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document.write( "a would have been 6<BR>\n" );
document.write( "b would have been 0<BR>\n" );
document.write( "c would have been -7\r<BR>\n" );
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document.write( "you would then have applied the quadratic formula to that.\r<BR>\n" );
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document.write( "you would have gotten x = +/- sqrt(168)/12 \r<BR>\n" );
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document.write( "sqrt(168)/12 is equivalent to sqrt(168/144) which is equivalent to sqrt(7/6).\r<BR>\n" );
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document.write( "you would have gotten the same answer either way.\r<BR>\n" );
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document.write( "x is equal to 0 or x is equal to + sqrt(7/6) or x is equal to - sqrt(7/6).\r<BR>\n" );
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document.write( " </SPAN>\n" );
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