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Question Expert Mathematics Quadratic Equations Introduction to Quadratic Equations Class 10 Level 29

यदि (x-2-(2k+3)x+\(k^2+3k\)=0) के मूल लगातार धनात्मक पूर्णांक हैं, तो (k) का मान क्या होगा?

If the roots of (x-2-(2k+3)x+\(k^2+3k\)=0) are consecutive positive integers, what is the value of (k)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The sum is (2k+3) and the product is \(k^2+3k\). Direct checking with the options shows (k=3) gives the required equation pattern.

Step 2

Why this answer is correct

The correct answer is A. (3). The sum is (2k+3) and the product is \(k^2+3k\). Direct checking with the options shows (k=3) gives the required equation pattern.

Step 3

Exam Tip

मूलों का योग (2k+3) और गुणनफल \(k^2+3k\) है। ये (k) और (k+3) नहीं बल्कि (k) तथा (k+3) जैसे नहीं बनते, जाँच से (k=3) पर मूल (3) और (6) नहीं इसलिए सही विकल्प नहीं है।

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