document.write( "Question 1192628: Use the intermediate value theorem to show that the function has a real zero between the two numbers given. Then, use your calculator to approximate the zero.
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document.write( "p(x)=4x^2-2x-6; 1 and 2
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document.write( "p(1)=
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document.write( "p(2)=
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document.write( "Is there a zero between 1 and 2? (y/n)
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document.write( "The zero is approximately= \r
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document.write( "(Round to the nearest hundredth as needed.)
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document.write( "thank you, still trying to grasp how to do this im clueless \n" );
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Algebra.Com's Answer #824515 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "To answer first question, you need to calculate the values p(1) and p(2).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To calculate p(1), substitute x= 1 into the formula.\r\n" ); document.write( "\r\n" ); document.write( "To calculate p(2), substitute x= 2 into the formula.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If the values p(1) and p(2) are of different signs (of opposite signs), then \r\n" ); document.write( "\r\n" ); document.write( "the intermediate value theorem says that there is a root p(x) = 0 somewhere in the interval (1,2).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At this point, explanation to the first question is complete.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Regarding your second question, solve the quadratic equation\r\n" ); document.write( "\r\n" ); document.write( " 4x^2-2x-6 = 0 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "using the quadratic formula, the calculate the roots using your calculator.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " At this point, all explanations are completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On solving quadratic equations using the quadratic formula, see the lessons\r \n" ); document.write( "\n" ); document.write( " - Introduction into Quadratic Equations\r \n" ); document.write( "\n" ); document.write( " - PROOF of quadratic formula by completing the square\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |