My Attempt: I firstly turned into this: 2x(x-4)+7 . Then I placed different numbers instead of $x$. Then find that it is -1 . Is it true. Is there any smarter solution?
2. $x$ er $\Re$ maan ber koro jekhane x nicher equation satisfy kore:
\[3^x + 4^x = 5^x\]
3.$2^4 \times 5^5 \times 10^8$ ei rashite koyti onko ache?
MyAttempt: if we simplyfy $10^8$ to 5 and 2 , then we get : $10^12 \times 5$ And thus the ans is 13! is ti correct?
4. $3^a - 7^b - 1=0$ ei rashir koiti somadhan ase?(very difficult to me)
5.How many subset does this set have $A$ = $\{$ 1,2,3,.....,2003$\}$ .the sum of the elements containing in that subset must be $2007000$.
6. n er koyti purno dhonattok maaner jonno $n^2 - 14n + 24$ 1ti Prime number? (ami sudhu jani prime odd hoy(except 2))
7. n ke 3 diye bhag korle 1 thake, 4diye bhag kore 2 thake, 5 diye bhag korle 3 thake, 6 diye korle 4 thake. 7 diye bhag korle koto bhagsesh thakbe? (pattern dekhe mone hoy 5 hote pare. Kintu 5 diye bhag korle 3 thake. Tai mone hoche 7 diye bhag korle 0 thakbe, kintu prosner sathe milale tao hoy na.
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