x – [x – { x – (x + 1)}] –এর মান কত?

x – [x – { x – (x + 1)}] –এর মান কত? ?

Created: 9 months ago | Updated: 2 months ago | Created By:

farjana akter akter

x + 1

-1

x – 1

0 10

Institution: Bangladesh Public Service Commission (BPSC) Exam: 17th BCS Preliminary Exam 1996
Topic: Algebra Mathematics (বীজগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the expression \( x - [x - \{ x - (x + 1) \}] \), we can break it down step by step.

1. Start with the innermost bracket:
\[
x - (x + 1) = x - x - 1 = -1
\]
So, we can replace \( x - (x + 1) \) with \(-1\).

2. Next, substitute this result back into the expression:
\[
x - [x - \{-1\}]
\]

3. Now, we simplify \( x - \{-1\} \):
\[
x - (-1) = x + 1
\]
Therefore, we replace \( x - \{-1\} \) with \( x + 1 \).

4. Continue simplifying the outer expression:
\[
x - (x + 1) = x - x - 1 = -1
\]

Thus, the entire expression simplifies to \(-1\). Therefore, the value of \( x - [x - \{ x - (x + 1) \}] \) is \(-1\), which corresponds to option C.

This structured approach to solving the expression clarifies each step and shows how nested operations resolve, leading to the correct answer.

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x – [x – { x – (x + 1)}] –এর মান কত? ?

যদি x^2 + px + 6 = 0 এর মূল দুটি সমান হয় এবং p

The synonym for ‘efface’-

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