document.write( "Question 1008619: Hello, I would like to find help in HOW to solve a quadratic equation such as the one listed below. I am not quite sure on how to work the fractional powers. I have tried the quadratic equation but that does not work out and I have tried seeing it as 9(x^(1/3))^2-26x^(1/3)-3=0. I have seen youtube videos on how to solve equations in quadratic with fractional powers but most factor nicely and I cannot seem to get my problem to do so as well. I would really appreciate some assistance with this problem.\r
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Algebra.Com's Answer #624222 by ikleyn(52776) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The standard method solving equations like this is as follows.\r\n" );
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document.write( "Introduce new variable \r\n" );
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document.write( "y = x^(1/3) =        (1).\r\n" );
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document.write( "Then your equation takes the form\r\n" );
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document.write( " -  -  = .   (2)\r\n" );
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document.write( "It is a quadratic equation for y. Solve it using the quadratic formula:\r\n" );
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document.write( " =  =  = .\r\n" );
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document.write( "Thus the equation (2) has two solutions:  = 3;    = .\r\n" );
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document.write( "Now, to find x, you need solve two equations ( recall (1) ):\r\n" );
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document.write( "1)  = 3. To solve it, raise both side to the degree 3: x =  = 27.\r\n" );
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document.write( "2)  = . To solve it, raise both side to the degree 3: x =  = .\r\n" );
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document.write( "Answer. There are two solutions of the original equation: x = 27 and x = .\r\n" );
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