$i f a + 2 b = 6 a n d a b = 4, w h a t i s \frac{2}{a} + \frac{1}{b} ?$

Created: 6 months ago | Updated: 1 month ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Management Trainee Officer (2019) || 2019 গণিত

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যদি a + 2b = 6 এবং ab = 4 হয় তাহলে $\frac{2}{a} + \frac{1}{b}$ এর মান কত?

দেওয়া আছে, a + 2b = 6 . . . . . . . . . . . . . . (i)

ab = 4 . . . .. . . . . . . . . . . (ii)

এখন, সমীকরণ (i) কে $\frac{1}{a b}$ দিয়ে গুণ করি

$\frac{1}{a b} \times a + \frac{1}{a b} \times 2 b = 6 \times \frac{1}{a b}$

$\Rightarrow \frac{1}{b} + \frac{2}{a} = \frac{6}{a b}$

$\Rightarrow \frac{2}{a} + \frac{1}{b} = \frac{6}{4}$

$∴ \frac{2}{a} + \frac{1}{b} = \frac{3}{2} (a n s .)$

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$i f a + 2 b = 6 a n d a b = 4, w h a t i s \frac{2}{a} + \frac{1}{b} ?$

$f i n d t h e v a l u e o f n, i f 27^{- \frac{1}{3^{n}}} = 243$