document.write( "Question 409452: Given the quadratic function f(x) = x^2 – 6x + 9, find a value of x such that f(x) = 25.\r
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\n" ); document.write( "x^2 - 6x + 9 = 25
\n" ); document.write( "x^2 - 6x - 16 = 0
\n" ); document.write( "x^2 - 8x + 2x -16 = 0
\n" ); document.write( "x(x-8) + 2(x-8) = 0
\n" ); document.write( "(x-8)(x+2) = 0
\n" ); document.write( "x = 8 \n" ); document.write( "

Algebra.Com's Answer #288200 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Given the quadratic function f(x) = x^2 – 6x + 9, find a value of x such that f(x) = 25. 
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document.write( "f(x) = x^2 – 6x + 9
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document.write( "x^2 - 6x + 9 = 25
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document.write( "(x-3)^2 -9 + 9 = 25    |completing the square
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document.write( " (x-3)^2 = 25
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document.write( "  (x-3) = ± 5
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document.write( "   x = 3 ± 5
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document.write( "  x = 8 and x = -2 \r
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document.write( "CHECKING our Answer(s)***
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document.write( "x^2 - 6x + 9 = 25
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document.write( " 64 - 48 + 9 = 25
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document.write( " 4 + 12 + 9 = 25
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document.write( "  \n" );
document.write( "

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