document.write( "Question 242975: Given that one of the roots of the quadratic equation 4x^2-(p-2)x-2p=5 is negative of the other root,find
\n" ); document.write( "(a)the value of p,
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Algebra.Com's Answer #177999 by stanbon(75887)\"\" \"About 
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Given that one of the roots of the quadratic equation 4x^2-(p-2)x-2p=5 is negative of the other root,find
\n" ); document.write( "(a)the value of p,
\n" ); document.write( "Let x and -x be the roots.
\n" ); document.write( "Then,
\n" ); document.write( "4x^2-(p-2)x-2p-5 = 0
\n" ); document.write( "And, replacing x with -x,
\n" ); document.write( "4x^2 + (p-2)x -2p -5 = 0
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\n" ); document.write( "Subtracting the 1st from the 2nd you get:
\n" ); document.write( "2(p-2)x = 0
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\n" ); document.write( "So x = 0 or p = 2
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\n" ); document.write( "\n" ); document.write( "(b)the roots of the quadratic equation
\n" ); document.write( "4x^2-(p-2)x-2p=5
\n" ); document.write( "If p =2
\n" ); document.write( "4x^2 -2p = 5
\n" ); document.write( "4x^2= 2p+5
\n" ); document.write( "x^2 = (2p+5)/4
\n" ); document.write( "x = +-sqrt[(2p+5)/4]
\n" ); document.write( "Since p = 2
\n" ); document.write( "x = +-sqrt[9/4]
\n" ); document.write( "x = +-3/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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