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Question
A এবং B এর মান কত হলে, A+B=7 এবং ab=10 হবে?
a=2 , b=-5
a=4, b=-3
a=-2, b=-5
a=5, b=2
ANSWER : 4
Descrption
<p>দেয়া আছে, a + b = 7</p> <p>∴a = 7 - b...... (i)</p> <p>বা, ab = 10 ............... (ii)</p> <p>(ii) নং - এ a - এর মান বসিয়ে পাই,</p> <p>(7 – b) b = 10</p> <p>বা, 7b – b² = 10</p> <p>বা, b² - 5b - 2b + 10 = 0</p> <p>বা, b(b - 5) - 2(b - 5) = 0</p> <p>বা, (b - 2) (b – 5) = 0</p> <p>হয়, b - 2 = 0</p> <p>∴b = 2</p> <p>অথবা, b - 5 = 0</p> <p>∴b = 5</p> <p>এখন, b - এর মান (i) নং - এ বসিয়ে পাই,</p> <p>যখন, b = 2, তখন = 7 - 2 = 5</p> <p>যখন, b = 5, তখন a = 7 - 5 = 2</p> <p>∴ (a, b) = (5, 2) বা, (2, 5)</p> <p>সুতরাং প্রশ্নের (ঘ) - ই একমাত্র গ্রহণযােগ্য উত্তর। </p>
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