document.write( "Question 551052: find k so thqqt the equation x2-11x+k=0 andx2-14x+2k=0 may have a common root
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Algebra.Com's Answer #359325 by oberobic(2304) $\"\"$ $\"About$

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f(x) = x^2 -11x + k
\n" ); document.write( "g(x) = x^2 -14x + 2k
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\n" ); document.write( "x = 0 defines the roots
\n" ); document.write( "But that reveals we would be looking for a point where k = 2k.
\n" ); document.write( "That exists only at k=0.
\n" ); document.write( "Given k=0, we can redefine f(x) and g(x):
\n" ); document.write( "f(x) = x*(x-11)
\n" ); document.write( "g(x) = x*(x-14)
\n" ); document.write( "They share the common root 0.
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