document.write( "Question 1089045: for what value of c does the quadratic function f(x)=x^2-6x+c have directly one x-intercept \n" ); document.write( "

Algebra.Com's Answer #703372 by natolino_2017(77) $\"\"$ $\"About$

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using the Completing square method:\r
\n" ); document.write( "\n" ); document.write( "f(x) = (x^2-6x+c) = ((x-3)^2 -3^2 + c = (x-3)^2 +(c-9).\r
\n" ); document.write( "\n" ); document.write( "in order to have only one intercept: (c-9) = 0, so c=9.\r
\n" ); document.write( "\n" ); document.write( "in this case: the intercept on the x-axis is when x = 3\r
\n" ); document.write( "\n" ); document.write( "@natolino_\r
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