a + b = 13, a - b = 3 হলে a2 + b2 -এর মান কত ?
Correct Answer: Option B
a2 + b2 = \(\frac{{(a + b)2 + (a - b)2 }}{2}\)
\(\frac{{13 2 + 13 2}}{2} = \frac{{169 + 9}}{2}(13 2 = 169 ) = \frac{{178}}{2} = 89\)
2nd method
বড় সংখ্যাটি = (13+3) \( \div \) 2 = 16 \( \div \) 2 = 8 এবং ছোট সংখ্যাটি = (13 - 3 ) \( \div \) 2 = 10 \( \div \) 2 = 5
সুতরাং a = 8 & b = 5 a 2 + b 2 = 82 + 52 = 64 + 25
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