document.write( "Question 857219: If the quadratic equation p^2x^2 + 4qx + 25 = 0 has real and equal roots such that p>0 and q>0, find p:q. \n" ); document.write( "

Algebra.Com's Answer #516421 by josgarithmetic(39617) $\"\"$ $\"About$

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This requires discriminant equal to zero.\r
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\n" ); document.write( "\n" ); document.write( " $\"Discriminant=%284q%29%5E2-4%2A%28p%5E2%29%2A25=0\"$
\n" ); document.write( " $\"%284q-10p%29%284q%2B10p%29=0\"$
\n" ); document.write( " $\"%282q-5p%29%282q%2B5p%29=0\"$
\n" ); document.write( "-
\n" ); document.write( "One or the other of each binomial factor is zero for the product to be zero.
\n" ); document.write( "If $\"2q-5p=0%2C+then+2q=5p\"$
\n" ); document.write( " $\"5p=2q\"$
\n" ); document.write( " $\"5p%2Fq=2\"$
\n" ); document.write( " $\"highlight%28p%2Fq=2%2F5%29\"$ --------THE ANSWER
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\n" ); document.write( "If $\"2q%2B5p=0\"$ , then $\"2q=-5p\"$
\n" ); document.write( " $\"5p=-2q\"$
\n" ); document.write( " $\"5p%2Fq=-2\"$
\n" ); document.write( " $\"p%2Fq=-2%2F5\"$ -----Which we do NOT want because it is contrary to the specifications. \n" ); document.write( "

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