document.write( "Question 1209775: Let a, b, c, and d be distinct real numbers such that
\n" ); document.write( "a = \sqrt{4 + \sqrt{5 + a}},
\n" ); document.write( "b = \sqrt{4 - \sqrt{7 + b}},
\n" ); document.write( "c = \sqrt{4 + \sqrt{9 - c}},
\n" ); document.write( "d = \sqrt{4 - \sqrt{11 - d}}.
\n" ); document.write( "Compute abcd. \n" ); document.write( "

Algebra.Com's Answer #850453 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Let a, b, c, and d be distinct real numbers such that
\n" ); document.write( "a = \sqrt{4 + \sqrt{5 + a}},
\n" ); document.write( "b = \sqrt{4 - \sqrt{7 + b}},
\n" ); document.write( "c = \sqrt{4 + \sqrt{9 - c}},
\n" ); document.write( "d = \sqrt{4 - \sqrt{11 - d}}.
\n" ); document.write( "Compute abcd.
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\n" ); document.write( "\n" ); document.write( "        In the post by @CPhill, the answer produced is 11.\r
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\n" ); document.write( "\n" ); document.write( "        This answer is $\"highlight%28highlight%28INCORRECT%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "        I made a numerical experiment and found the approximate values for \r
\n" ); document.write( "\n" ); document.write( "        the roots a, b, c and d for each of the four given equations.\r
\n" ); document.write( "\n" ); document.write( "        Then I found the value of the product of the roots abcd and obtained totally different value as the answer.\r
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document.write( "The solutions are listed below\r\n" );
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document.write( "    equation  a = ,   approx. solution  a = 2.59936;\r\n" );
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document.write( "    equation  b = ,   approx. solution  b = 1.07617;\r\n" );
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document.write( "    equation  c = ,   approx. solution  c = 2.55701;\r\n" );
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document.write( "    equation  d = ,  approx. solution  d = 0.90724.\r\n" );
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document.write( "The solutions were found using the online graphical calculator DESMOS at the site\r\n" );
document.write( "www.desmos.com/calculator.\r\n" );
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document.write( "These solutions were checked, and the checks confirmed their validity.\r\n" );
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document.write( "The product abcd was then calculated and the value was obtained\r\n" );
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document.write( "    abcd = 2.59936 * 1.07617 * 2.55701 * 0.90724 = 6.48936.    <<<---=== ANSWER\r\n" );
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document.write( "So, the value of abcd CAN NOT be 11,\r\n" );
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document.write( "Thus, the solution by @CPhill is DISPROVED.\r\n" );
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document.write( "The logic in the last part of the \"solution\" by @CPhill, is  \r\n" );
document.write( "in its last part starting from the words \"Let's look for a pattern . . . \".\r\n" );
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document.write( "It only creates the appearance of a logical deducing, but in reality it is a bluff to deceive a reader.\r\n" );
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Diagnosis: the \"solution\" by @CPhill is a TOTAL, GLOBAL and FATAL gibberish.

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\n" ); document.write( "\n" ); document.write( " Regarding the post by @CPhill . . . \r
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\n" ); document.write( "\n" ); document.write( "Keep in mind that @CPhill is a pseudonym for the Google artificial intelligence.\r
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\n" ); document.write( "\n" ); document.write( "The artificial intelligence is like a baby now. It is in the experimental stage
\n" ); document.write( "of development and can make mistakes and produce nonsense without any embarrassment.\r
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\n" ); document.write( "\n" ); document.write( " It has no feeling of shame - it is shameless.\r
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\n" ); document.write( "\n" ); document.write( "This time, again, it made an error.\r
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\n" ); document.write( "\n" ); document.write( "Although the @CPhill' solution are copy-paste Google AI solutions, there is one essential difference.\r
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\n" ); document.write( "\n" ); document.write( "Every time, Google AI makes a note at the end of its solutions that Google AI is experimental
\n" ); document.write( "and can make errors/mistakes.\r
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\n" ); document.write( "\n" ); document.write( "All @CPhill' solutions are copy-paste of Google AI solutions, with one difference:
\n" ); document.write( "@PChill never makes this notice and never says that his solutions are copy-past that of Google.
\n" ); document.write( "So, he NEVER SAYS TRUTH.\r
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\n" ); document.write( "\n" ); document.write( "Every time, @CPhill embarrassed to tell the truth.\r
\n" ); document.write( "\n" ); document.write( "But I am not embarrassing to tell the truth, as it is my duty at this forum.\r
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\n" ); document.write( "\n" ); document.write( "And the last my comment.\r
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\n" ); document.write( "\n" ); document.write( "When you obtain such posts from @CPhill, remember, that NOBODY is responsible for their correctness,
\n" ); document.write( "until the specialists and experts will check and confirm their correctness.\r
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\n" ); document.write( "\n" ); document.write( "Without it, their reliability is ZERO and their creadability is ZERO, too.\r
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