document.write( "Question 925613: If one root of the equation x^2-12x-P=0 is the square of the other, then find the value of P? \n" ); document.write( "
Algebra.Com's Answer #561648 by MathTherapy(10552)\"\" \"About 
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If one root of the equation x^2-12x-P=0 is the square of the other, then find the value of P?
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\n" ); document.write( "\"x%5E2+-+12x+-+P+=+0\"
\n" ); document.write( "The roots’ sum: \"s+=+-+b%2Fa\"______\"s+=+-%28-+12%29%2F1\", or 12\r
\n" ); document.write( "\n" ); document.write( "Let smaller root be S
\n" ); document.write( "Then larger root = \"S%5E2\"
\n" ); document.write( "Since the 2 roots’ sum is 12, then we can say that: \"S+%2B+S%5E2+=+12\"
\n" ); document.write( "\"S%5E2+%2B+S+-+12+=+0\"
\n" ); document.write( "(S + 4)(S - 3) = 0
\n" ); document.write( "S, or smaller root = - 4, or 3 \r
\n" ); document.write( "\n" ); document.write( "When smaller root = - 4, then larger root = \"%28-+4%29%5E2\", or 16
\n" ); document.write( "When smaller root = 3, then larger root = \"3%5E2\", or 9\r
\n" ); document.write( "\n" ); document.write( "The roots’ product: \"p+=+c%2Fa\"______\"p+=+%28-+P%29%2F1\", or – P
\n" ); document.write( "Roots’ product, when roots are – 4 and 16: - 4(16), or – 64
\n" ); document.write( "Thus, - P = - 64
\n" ); document.write( "\"P+=+%28-+64%29%2F%28-+1%29\", or \"highlight_green%2864%29\"\r
\n" ); document.write( "\n" ); document.write( "Roots’ product, when roots are 3 and 9 = 3(9), or 27
\n" ); document.write( "Thus, - P = 27
\n" ); document.write( "\"P+=+27%2F%28-+1%29\", or \"highlight_green%28-+27%29\" \n" ); document.write( "
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