document.write( "Question 134150: Please help me with the following problem:
\n" ); document.write( "Solve the problem. Solve the equation 12x³-77x²+91x-30=0 given that 2/3 is a root\r
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Algebra.Com's Answer #98119 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"12x%5E3+-+77x%5E2+%2B+91x+-+30+=+0\"$
\n" ); document.write( "Substitute $\"%282%2F3%29%2Ax%5E2+for+x%5E3\"$
\n" ); document.write( "Substitute $\"%282%2F3%29%2Ax+for+x%5E2\"$
\n" ); document.write( "Substitute $\"2%2F3+for+x\"$
\n" ); document.write( " $\"12x%5E2%2A%282%2F3%29+-+77x%2A%282%2F3%29+%2B+91%2A%282%2F3%29+-+30+=+0\"$
\n" ); document.write( "Multiply both sides by $\"3%2F2\"$
\n" ); document.write( " $\"12x%5E2+-+77x+%2B+91+-+45+=+0\"$
\n" ); document.write( " $\"12x%5E2+-+77x+%2B+46+=+0\"$
\n" ); document.write( "Use quadratiic formula
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-77%29+%2B-+sqrt%28+%28-77%29%5E2-4%2A12%2A46+%29%29%2F%282%2A12%29+\"$
\n" ); document.write( " $\"x+=+%2877+%2B-+sqrt%283721%29%29%2F24+\"$
\n" ); document.write( " $\"x+=+%2877+%2B-+61%29+%2F+24\"$
\n" ); document.write( " $\"x+=+19%2F12\"$
\n" ); document.write( " $\"x+=+2%2F3\"$
\n" ); document.write( "The roots are $\"x+=+19%2F12\"$ , $\"x+=+2%2F3\"$ , $\"x+=+2%2F3\"$
\n" ); document.write( " $\"x+=+2%2F3\"$ is a double root.
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