a+b = 2, ab = 1 হলে a ও b এর মান?
Solution
Correct Answer: Option B
দেওয়া আছে,
a+b = 2
∴ b = 2 - a --- (1)
সুতরাং,
ab = 1
⇒ a (2 - a) = 1
⇒ 2a - a² = 1
⇒ 1 = 2a - a²
⇒ 1 - 2a + a² = 0
⇒ a² - 2a + 1 = 0
⇒ a²- 2.a.1 + 1² = 0
⇒ (a-1)² = 0
⇒ (a-1) (a-1) = 0
⇒ a = 1
(1) নং থেকে,
b = 2 - 1
⇒ b = 1
সুতরাং, a=1, b=1.
a+b = 2
∴ b = 2 - a --- (1)
সুতরাং,
ab = 1
⇒ a (2 - a) = 1
⇒ 2a - a² = 1
⇒ 1 = 2a - a²
⇒ 1 - 2a + a² = 0
⇒ a² - 2a + 1 = 0
⇒ a²- 2.a.1 + 1² = 0
⇒ (a-1)² = 0
⇒ (a-1) (a-1) = 0
⇒ a = 1
(1) নং থেকে,
b = 2 - 1
⇒ b = 1
সুতরাং, a=1, b=1.
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