document.write( "Question 838873: how do I solve k^2-4k-5=0 \n" ); document.write( "
Algebra.Com's Answer #505408 by mxgirl22(39)\"\" \"About 
You can put this solution on YOUR website!
how do I solve k^2-4k-5=0\r
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\n" ); document.write( "1.) You can either factor or use the quadratic formula.\r
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\n" ); document.write( "\n" ); document.write( "For this step I'll show you factoring since this is a nice trinomial.\r
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\n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r
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\n" ); document.write( "\n" ); document.write( "We need to find two numbers that will give us -5 when multiplied together and -4 when added together.\r
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\n" ); document.write( "\n" ); document.write( "I like to set it up like this when I'm solving...\r
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\n" ); document.write( "\n" ); document.write( "[_]+[_]=-4
\n" ); document.write( "[_]x[_]=-5\r
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\n" ); document.write( "\n" ); document.write( "I know the only way to get -5 when multiplying is by having 1 & -5(or -1 and 5) but looking at what it needs to add up to it has to be 1 and -5.\r
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\n" ); document.write( "\n" ); document.write( "[1]+[-5]=-4
\n" ); document.write( "[1]x[-5]=-5\r
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\n" ); document.write( "\n" ); document.write( "Now use those numbers to factor.\r
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\n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r
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\n" ); document.write( "\n" ); document.write( "k^2+1k-5k-5=0\r
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\n" ); document.write( "\n" ); document.write( "(k^2+1k)+(-5k-5)=0\r
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\n" ); document.write( "\n" ); document.write( "k(k+1)-5(k+1)=0\r
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\n" ); document.write( "\n" ); document.write( "k-5=0___&___k+1=0\r
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\n" ); document.write( "\n" ); document.write( "k-5+5=0+5_&_k+1-1=0-1\r
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\n" ); document.write( "\n" ); document.write( "k=5_____&___k=-1\r
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\n" ); document.write( "2.) If you wanted to use the **Quadratic Formula**, this is the step to look at:\r
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\n" ); document.write( "\n" ); document.write( "k^2-4k-5=0\r
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\n" ); document.write( "\n" ); document.write( "a=1, b=-4, c=-5\r
\n" ); document.write( "\n" ); document.write( "Quadratic Formula:\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%2A%281%29%2A%28-5%29+%29%29%2F%282%2A%281%29%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%2A%281%29%2A%28-5%29+%29%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16-4%2A%281%29%2A%28-5%29+%29%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16-4%2A%28-5%29+%29%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+16-%28-20%29+%29%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+sqrt%28+36+%29%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B-+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Solve for \"x+=+%284+%2B+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "and\r
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\n" ); document.write( "\n" ); document.write( "Solve for \"x+=+%284+-+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+%2B+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+5+\"\r
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\n" ); document.write( "\n" ); document.write( "---------------------\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%284+-+6+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-+2+%29%2F%282%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+-1+\"\r
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