document.write( "Question 1172443: Use the discriminant to determine all values of k which would result in the equation kx^2+2x+1=0 having equal roots \n" ); document.write( "

Algebra.Com's Answer #797476 by math_tutor2020(3817) $\"\"$ $\"About$

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\n" ); document.write( "For the quadratic
\n" ); document.write( "ax^2 + bx + c = 0\r
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\n" ); document.write( "\n" ); document.write( "The discriminant is
\n" ); document.write( "D = b^2 - 4ac\r
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\n" ); document.write( "\n" ); document.write( "In our case,
\n" ); document.write( "a = k
\n" ); document.write( "b = 2
\n" ); document.write( "c = 1\r
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\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "D = b^2 - 4ac
\n" ); document.write( "D = 2^2 - 4k*1
\n" ); document.write( "D = 4 - 4k\r
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\n" ); document.write( "\n" ); document.write( "When we have two equal roots, aka repeated root, the discriminant is D = 0
\n" ); document.write( "D = 4 - 4k
\n" ); document.write( "0 = 4 - 4k
\n" ); document.write( "4k = 4
\n" ); document.write( "k = 4/4
\n" ); document.write( "k = 1\r
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\n" ); document.write( "\n" ); document.write( "Answer: k = 1 \n" ); document.write( "

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