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For what value of x between -4 and 4, inclusive , is the value of x2 -10x + 16 the greatest?

For what value of x between -4 and 4, inclusive , is the value of x2 -10x + 16 the greatest? Correct Answer -4

<math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> - 10x + 16 = <math xmlns = "http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi><mn>2</mn></msup></math> - 8x - 2x + 16 = x(x - 8) - (x - 8) = (x - 2) (x - 8)এখন, (x - 2) (x - 8) - এর মান সর্বোচ্চ হবে যে ক্ষেত্রে x - এর মান 2 এবং 8 অপেক্ষা বড় অথবা 2 এবং8 অপেক্ষা ছোট হবে। এখন, - 4 ও 4 এর মধ্যে বৃহত্তম সংখ্যা 4 ও ক্ষুদ্রতম - 4। এ সীমার মধ্যে প্রথম শর্ত প্রযোজ্য হয় না। সুতরাং দ্বিতীয় শর্ত অর্থাৎ - 2 ও 8 অপেক্ষা ছোট সংখ্যা নিতে হবে। এক্ষেত্রে x - এর মান সর্বনিম্ন হলে (x - 2) (x - 8) এর মান সর্বোচ্চ হবে। এ 4 ও - 4 সর্বনিম্ন মান, - 4। <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> উত্তর হবে (a) - 4 । ww

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