document.write( "Question 1075689: Please help me solve this problem : Find the value of the constant k such that the ratio of the two
\n" ); document.write( "solution of the quadratic equation 2x2 - kx+ k +2 = 0 is 3:2 \n" ); document.write( "

Algebra.Com's Answer #690351 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Let \"a\" be one solution of the given equation   = .\r\n" );
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document.write( "Then the other solution is .\r\n" );
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document.write( "If so, then the given polynomial  admits factorization\r\n" );
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document.write( " =  = (x-a)*(2x-3a) = .\r\n" );
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document.write( "It means that  -k = -5a, 3a^2 = k+2,   or  (substituting)\r\n" );
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document.write( " = ,\r\n" );
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document.write( " = 0  --->   =  = .\r\n" );
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document.write( "1.   =  = 1  ---->  k = 5a = 5;\r\n" );
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document.write( "2.   =  =  = .  ---->  k = 5a = .\r\n" );
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document.write( "Answer.  There are TWO solutions for k:  1) k = 5,   and   2)  k = .\r\n" );
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