document.write( "Question 1085176: Write a quadratic equation in factored and standard form whose roots are 3 and -4/3. Is there more than one solution possible? Explain! \n" ); document.write( "

Algebra.Com's Answer #699211 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The factors are:
\n" ); document.write( " $\"+x+-+3+\"$ and
\n" ); document.write( " $\"+x+%2B+4%2F3+\"$
\n" ); document.write( " $\"+%28+x+-+3+%29%2A%28+x+%2B+4%2F3+%29+=+0+\"$
\n" ); document.write( "Divide the 2nd factor by $\"+3+\"$
\n" ); document.write( " $\"+%28+x+-+3+%29%2A%28+3x+%2B+4+%29+=+0++\"$
\n" ); document.write( " $\"+3x%5E2+-+9x+%2B+4x+-+12+=+0+\"$
\n" ); document.write( " $\"+3x%5E2+-+5x+-+12+=+0+\"$
\n" ); document.write( "I can divide by $\"+3+\"$ and get
\n" ); document.write( " $\"+x%5E2+-+%285%2F3%29%2Ax+-+12+=+0+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "The equations are:
\n" ); document.write( " $\"+y+=+3x%5E2+-+5x+-+12+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+x%5E2+-+%285%2F3%29%2Ax+-+4+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "( -4/3, 0 )
\n" ); document.write( " $\"+y+=+3x%5E2+-+5x+-+12+\"$
\n" ); document.write( " $\"+0+=+3%2A%28-4%2F3%29%5E2+-+5%2A%28-4%2F3%29+-+12+\"$
\n" ); document.write( " $\"+0+=+16%2F3+%2B+20%2F3+-+36%2F3+\"$
\n" ); document.write( " $\"+0+=+36%2F3+-+36%2F3+\"$
\n" ); document.write( "OK
\n" ); document.write( "( 3,0 )
\n" ); document.write( " $\"+y+=+3x%5E2+-+5x+-+12+\"$
\n" ); document.write( " $\"+0+=+3%2A3%5E2+-+5%2A3+-+12+\"$
\n" ); document.write( " $\"+0+=+27+-+15+-+12+\"$
\n" ); document.write( " $\"+0+=+27+-+27+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can check the other form of the equation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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