document.write( "Question 924080: Write the quadratic equation whose roots are −4 and 3, and whose leading coefficient is 5. \n" ); document.write( "

Algebra.Com's Answer #560576 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+x+=+-4+\"$
\n" ); document.write( " $\"+x+=+3+\"$
\n" ); document.write( "are solutions
\n" ); document.write( " $\"+5x%5E2+%2B+b%2Ax+%2B+c+=+0+\"$
\n" ); document.write( "The solutions are:
\n" ); document.write( "(1) $\"+5%2A%28-4%29%5E2+%2B+b%2A%28-4%29+%2B+c+=+0+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+5%2A3%5E2+%2B+b%2A3+%2B+c+=+0+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+80+-+4b+%2B+c+=+0+\"$
\n" ); document.write( "(2) $\"+45+%2B+3b+%2B+c+=+0+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"+80+-+4b+%2B+c+=+0+\"$
\n" ); document.write( "(2) $\"+-45+-+3b+-+c+=+0+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+35+-+7b+=+0+\"$
\n" ); document.write( " $\"+7b+=+35+\"$
\n" ); document.write( " $\"+b+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+80+-+4%2A5+%2B+c+=+0+\"$
\n" ); document.write( "(1) $\"+80+-+20+%2B+c+=+0+\"$
\n" ); document.write( "(1) $\"+c+=+-60+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "The equation is:
\n" ); document.write( " $\"+f%28x%29+=+5x%5E2+%2B+5b+-+60+\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+x+-+3+%29%2A%28+x+%2B+4+%29+=+0+\"$
\n" ); document.write( " $\"+x%5E2+-+3x+%2B+4x+-+12+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+-+12+=+0+\"$
\n" ); document.write( "Multiply both sides by $\"+5+\"$
\n" ); document.write( " $\"+5x%5E2+%2B+5x+-+60+=+0+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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