document.write( "Question 1044821: Find all solutions of the equation |x^2 - 14x + 29| = 4. \n" ); document.write( "
Algebra.Com's Answer #660216 by Boreal(15235)\"\" \"About 
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|x^2 - 14x + 29| = 4.
\n" ); document.write( "start with x^2-14x+29=4
\n" ); document.write( "x^2-14x+25=0
\n" ); document.write( "x=(1/2)(14+/- sqrt (196-100); sqrt 96=4 sqrt (6)
\n" ); document.write( "x=7+2 sqrt (6) and 7-2 sqrt (6). Numerically, these are about 11.9 and 2.1
\n" ); document.write( "Check and 11.9 and 2.1 are both within 0.01 (rounding error).
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\n" ); document.write( "The other solution is when x^2-14x+29=-4, because |-4|=4.
\n" ); document.write( "Now x^2-14x+33=0
\n" ); document.write( "(x-11)(x-3)=0
\n" ); document.write( "x=11,3
\n" ); document.write( "Check in the original |121-154+29|=|-4)=4; 9-42+29=|-4|=4
\n" ); document.write( "\"graph%28300%2C300%2C-10%2C15%2C-10%2C10%2Cx%5E2-14x%2B33%29\"
\n" ); document.write( "Exact solutions are 7-2 sqrt(6),3,11, and 7+2 sqrt (6)\r
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