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Question
যদি a+b = 2, ab = 1 হয়, তবে a এবং b এর মান যথাক্রমে-
0, 2
1, 1
-1, 3
-3, -4
ANSWER : 2
Descrption
<p>দেওয়া আছে, </p> <p> </p> <p> a + b = 2 .......(1) </p> <p> </p> <p> এবং ab = 1 .......(2) </p> <p> </p> <p> আমরা জানি, </p> <p> </p> <p> (a - b)2 = (a + b)2 - 4ab </p> <p> </p> <p> = > (a - b)2 = 22 - 4.1 </p> <p> </p> <p> = > (a - b)2 = 4 - 4 </p> <p> </p> <p> a - b = 0 ..........(3) </p> <p> </p> <p> (1) + (3) হতে পাই, </p> <p> </p> <p> 2a = 2 </p> <p> </p> <p> = > a = 1 </p> <p> </p> <p> (1) - (3) হতে পাই, </p> <p> </p> <p> 2a = 2 </p> <p> </p> <p> = > b = 1 </p> <p> </p> <p> a = 1 এবং b = 1. </p>
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