document.write( "Question 1168460: What should be the value of k in 2x^4-5x^2+k so that x-5 is a zero?\r
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document.write( "I kinda don't know how to solve this one may I please ask for your assistance, I would be very happy if you could help me out \n" );
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Algebra.Com's Answer #793033 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if x - 5 is a zero, then solve for x to get = 5 \n" ); document.write( "set the equation equal to 0 and replace x with 5 in the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x^4 - 5x^2 + k = 0 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2*5^4 - 5*5^2 + k = 0 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1125 + k = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for k to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k = -1125\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation becomes 2x^4 - 5x^2 - 1125 = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when you replace x with 5, you get y = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph of this equation looks like this.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it actually has 2 zeroes, one at x = -5 and one at x = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it actually has 4 roots, except that 2 of them aren't real and so don't show up on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the 2 roots that are real are the zeroes. \n" ); document.write( " |