document.write( "Question 357829: Find the value of k on x^2+3x+k-1=0 if the quadratic equation has:
\n" ); document.write( "a) equal roots
\n" ); document.write( "b) one root -3
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Algebra.Com's Answer #255422 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
a)Use the discriminant.
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=3%5E2-4%281%29%28k-1%29\"$
\n" ); document.write( "For equal roots,
\n" ); document.write( " $\"D=0\"$
\n" ); document.write( " $\"9-4%28k-1%29=0\"$
\n" ); document.write( " $\"4%28k-1%29=9\"$
\n" ); document.write( " $\"k-1=9%2F4\"$
\n" ); document.write( " $\"k=9%2F4%2B4%2F4\"$
\n" ); document.write( " $\"k=13%2F4\"$
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\n" ); document.write( "b) Use the quadratic formula,
\n" ); document.write( " $\"x+=+%28-3+%2B-+sqrt%28+9-4%28k-1%29+%29%29%2F%282%29=-3+\"$
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\n" ); document.write( " $\"-3+%2B-+sqrt%28+9-4%28k-1%29+%29%29=-6+\"$
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\n" ); document.write( " $\"0+%2B-+sqrt%28+9-4%28k-1%29+%29%29=-3+\"$
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\n" ); document.write( " $\"sqrt%28+9-4%28k-1%29+%29%29=3+\"$
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\n" ); document.write( " $\"+9-4%28k-1%29=9+\"$
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\n" ); document.write( " $\"-4%28k-1%29=0\"$
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\n" ); document.write( " $\"highlight%28k=1%29\"$
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\n" ); document.write( " $\"x%5E2%2B3x=0\"$
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