document.write( "Question 1209316: Find the value of a for which there is exactly one real value of $x$ such that f(x) = a, where
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Algebra.Com's Answer #848310 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Find the value of a for which there is exactly one real value of $x$ such that f(x) = a,
\n" ); document.write( "where f(x) = x^2 + 4x - 31 + 4x^2 - 13x + 25.
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document.write( "                    Step by step\r\n" );
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document.write( "(1)  Reduce the given quadratic function f(x) to the standard form \r\n" );
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document.write( "     f(x) = px^2 + qx + r  by combining like terms.\r\n" );
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document.write( "(2)  Complete the square and write your quadratic function in vertex form\r\n" );
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document.write( "        f(x) =  + s.\r\n" );
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document.write( "(3)  The value of \"s\" in the last formula is your answer for \"a\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "With given instructions, boldly go forward from the beginning to the end.\r
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\n" ); document.write( "\n" ); document.write( "So, the value of \"a\" will be y-coordinate of the vertex.\r
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