document.write( "Question 167267: If the graph of the parabola y=kx^2+6x+k+8 is tangent to x-axis, then what is the positive value of k? \n" ); document.write( "

Algebra.Com's Answer #123276 by oscargut(2103) $\"\"$ $\"About$

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if the graph is tangent to x-axis then discriminant is 0
\n" ); document.write( "then $\"b%5E2-4ac=0\"$ \r
\n" ); document.write( "\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( " $\"6%5E2-4%28k%29%28k%2B8%29=0\"$
\n" ); document.write( " $\"36-4k%5E2-32k=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-4k%5E2-32k%2B36=0\"$
\n" ); document.write( " $\"k%5E2%2B8x-9=0\"$ \r
\n" ); document.write( "\n" ); document.write( "then $\"k=1\"$ or $\"k=-9\"$
\n" ); document.write( "then $\"k=1\"$ (positive value)\r
\n" ); document.write( "\n" ); document.write( "Answer: $\"k=1\"$ \r
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