Hard Mathematics Quadratic Equations Class 10 Level 30

यदि समीकरण \(x^2+bx+49=0\) के दोनों मूल समान हैं और उनका मान (-7) है, तो (b) क्या है?

If both roots of \(x^2+bx+49=0\) are equal and their value is (-7), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (14)

Step 1

Concept

Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

Step 2

Why this answer is correct

The correct answer is A. (14). Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

Step 3

Exam Tip

दोनों मूल (-7) हैं, इसलिए योग (-14) है। यहाँ मूलों का योग (-b) है, अतः (b=14)।

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Mathematics Answer, Explanation and Revision Hints

यदि समीकरण \(x^2+bx+49=0\) के दोनों मूल समान हैं और उनका मान (-7) है, तो (b) क्या है? / If both roots of \(x^2+bx+49=0\) are equal and their value is (-7), what is (b)?

Correct Answer: A. (14). Explanation: दोनों मूल (-7) हैं, इसलिए योग (-14) है। यहाँ मूलों का योग (-b) है, अतः (b=14)। / Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

Which concept should I revise for this Mathematics MCQ?

Both roots are (-7), so their sum is (-14). Here the sum of roots is (-b), so (b=14).

What exam hint can help solve this Mathematics question?

दोनों मूल (-7) हैं, इसलिए योग (-14) है। यहाँ मूलों का योग (-b) है, अतः (b=14)।

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