document.write( "Question 940978: Given that the roots of the equation 3x square+kx+p-2=0are4 and-2/3.find the value of k and p \n" ); document.write( "

Algebra.Com's Answer #573580 by Fombitz(32388) $\"\"$ $\"About$

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Work backwards,
\n" ); document.write( " $\"%28x-4%29%28x%2B2%2F3%29=x%5E2%2B%282%2F3%29x-4x-8%2F3\"$
\n" ); document.write( " $\"%28x-4%29%28x%2B2%2F3%29=x%5E2-%2810%2F3%29x-8%2F3\"$
\n" ); document.write( "Since the coefficient for the $\"x%5E2\"$ term is $\"3\"$ , multiply by $\"3\"$ .
\n" ); document.write( " $\"3%28x-4%29%28x%2B2%2F3%29=3x%5E2-10x-8\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"k=-10\"$
\n" ); document.write( "and
\n" ); document.write( " $\"p-2=-8\"$
\n" ); document.write( " $\"p=-6\"$
\n" ); document.write( " \n" ); document.write( "

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