document.write( "Question 273005: How do I find a root of the equation 2x^2-x-15=0\r
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\n" ); document.write( "\n" ); document.write( "How do I find the x coordinate of the vertex for the quadratic equation x^2+6x+5=0\r
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Algebra.Com's Answer #199518 by stanbon(75887)\"\" \"About 
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How do I find a root of the equation 2x^2-x-15=0
\n" ); document.write( "Think of two numbers whose product is -15*2 = -30
\n" ); document.write( "and whose sum is -1
\n" ); document.write( "The numbers are -6 and +5
\n" ); document.write( "Replace -x by -6x+5x and factor:
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\n" ); document.write( "2x^2 -6x + 5x - 15 = 0
\n" ); document.write( "2x(x-3) + 5(x-3) = 0
\n" ); document.write( "(x-3)(2x+5) = 0
\n" ); document.write( "x = 3 or x = -5/2
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\n" ); document.write( "ALSO
\n" ); document.write( "How do I find the x coordinate of the vertex for the quadratic equation x^2+6x+5=0
\n" ); document.write( "The x-value of the vertex is -b/2a = -6/(2*1) = -3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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