document.write( "Question 1150729: Suppose we know that equation kx^2 + 4kx + 4 = 0 has exactly one solution, then what’s the solution? \n" ); document.write( "

Algebra.Com's Answer #772137 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The discriminant  d = b^2 - 4ac must be zero:\r\n" );
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document.write( "    (-4k)^2 - 4*4k = 0\r\n" );
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document.write( "    16k^2 = 16k\r\n" );
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document.write( "      k = 1\r\n" );
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document.write( "      k = 0   ---  degenerated case.     \r\n" );
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document.write( "      If  k = 1, then  the equation is   x^2 + 4x + 4 = 0,   = 0  ====>  The solution is   x= -2.\r\n" );
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