document.write( "Question 1196712: Please l need your help for this assignment.if a and b are the root of the quadratic equation 3x³-4x-7=0, find a²/B +B²/a \n" ); document.write( "
Algebra.Com's Answer #829807 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "I think you meant to say 3x^2-4x-7 = 0 instead of 3x^3-4x-7 = 0\r
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\n" ); document.write( "\n" ); document.write( "Compare 3x^2-4x-7 = 0 to ax^2+bx+c=0
\n" ); document.write( "to find that
\n" ); document.write( "a = 3, b = -4, c = -7
\n" ); document.write( "These a,b values are NOT the roots mentioned
\n" ); document.write( "I wish your teacher used p,q for the roots (or anything else except for a,b)\r
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\n" ); document.write( "\n" ); document.write( "Anyways this is what the steps look like for the quadratic formula.
\n" ); document.write( "\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-%28-4%29%2B-sqrt%28%28-4%29%5E2-4%283%29%28-7%29%29%29%2F%282%283%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%2B-sqrt%28100%29%29%2F%286%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%2B-++10%29%2F%286%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284%2B10%29%2F%286%29\" or \"x+=+%284-10%29%2F%286%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+14%2F6\" or \"x+=+-6%2F6\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+7%2F3\" or \"x+=+-1\"
\n" ); document.write( "The two roots are p = 7/3 and q = -1
\n" ); document.write( "The order of the roots doesn't matter.\r
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\n" ); document.write( "\n" ); document.write( "We're asked to compute \"%28p%5E2%29%2F%28q%29+%2B+%28q%5E2%29%2Fp\" where p,q are the roots of 3x^2-4x-7 = 0\r
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\n" ); document.write( "\n" ); document.write( "\"%28p%5E2%29%2F%28q%29+%2B+%28q%5E2%29%2Fp\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%287%2F3%29%5E2%29%2F%28-1%29+%2B+%28%28-1%29%5E2%29%2F%287%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%2849%2F9%29%29%2F%28-1%29+%2B+%281%29%2F%287%2F3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-49%2F9+%2B+3%2F7\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-49%2A7%29%2F%289%2A7%29+%2B+%289%2A3%29%2F%289%2A7%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-343%29%2F%2863%29+%2B+%2827%29%2F%2863%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-343%2B27%29%2F%2863%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-316%2F63\"\r
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\n" ); document.write( "\n" ); document.write( "Therefore,
\n" ); document.write( "\"%28p%5E2%29%2F%28q%29+%2B+%28q%5E2%29%2Fp+=+-316%2F63\"
\n" ); document.write( "when p = 7/3 and q = -1, which are the roots of 3x^2-4x-7 = 0
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