document.write( "Question 101906: Solve the equation by completing the square\r
\n" ); document.write( "\n" ); document.write( "x^2 - 14x + 24 = 0 \n" ); document.write( "
Algebra.Com's Answer #74284 by ankor@dixie-net.com(22740)\"\" \"About 
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Solve the equation by completing the square
\n" ); document.write( "x^2 - 14x + 24 = 0
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\n" ); document.write( "x^2 - 14x + ___ = -24
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\n" ); document.write( "Find the 3rd term to make it a perfect square. Divide the coefficient of x by 2 and square it:
\n" ); document.write( "In this problem: 14/2 = 7; 7^2 = 49, (add 49 to both sides)
\n" ); document.write( "x^2 - 14x + 49 = -24 + 49
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\n" ); document.write( "In factored form we have:
\n" ); document.write( "(x - 7)^2 = 25
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\n" ); document.write( "Find the square root of both sides:
\n" ); document.write( "x - 7 = +/-Sqrt(25)
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\n" ); document.write( "x - 7 = +/-5
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\n" ); document.write( "Two solutions:
\n" ); document.write( "x = + 7 + 5
\n" ); document.write( "x = 12
\n" ); document.write( "and
\n" ); document.write( "x = +7 -5
\n" ); document.write( "x = 2
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\n" ); document.write( "Check our solutions by FOILing (x-12)*(x-2) = x^2 - 14x + 24
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