Expert Mathematics Polynomials Class 10 Level 25

यदि \(x^2+px+q\) के शून्यक \(7+2\sqrt{3}\) और \(7-2\sqrt{3}\) हैं, तो (p+q) क्या है?

If the zeroes of \(x^2+px+q\) are \(7+2\sqrt{3}\) and \(7-2\sqrt{3}\), what is (p+q)?

Explanation opens after your attempt
Correct Answer

A. (23)

Step 1

Concept

The sum is (14), so (p=-14), and the product is (49-12=37), so (q=37). Hence (p+q=23).

Step 2

Why this answer is correct

The correct answer is A. (23). The sum is (14), so (p=-14), and the product is (49-12=37), so (q=37). Hence (p+q=23).

Step 3

Exam Tip

योग (14) है, इसलिए (p=-14), और गुणनफल (49-12=37) है, इसलिए (q=37)। अतः (p+q=23) है।

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(x^2+px+q\) के शून्यक \(7+2\sqrt{3}\) और \(7-2\sqrt{3}\) हैं, तो (p+q) क्या है? / If the zeroes of \(x^2+px+q\) are \(7+2\sqrt{3}\) and \(7-2\sqrt{3}\), what is (p+q)?

Correct Answer: A. (23). Explanation: योग (14) है, इसलिए (p=-14), और गुणनफल (49-12=37) है, इसलिए (q=37)। अतः (p+q=23) है। / The sum is (14), so (p=-14), and the product is (49-12=37), so (q=37). Hence (p+q=23).

Which concept should I revise for this Mathematics MCQ?

The sum is (14), so (p=-14), and the product is (49-12=37), so (q=37). Hence (p+q=23).

What exam hint can help solve this Mathematics question?

योग (14) है, इसलिए (p=-14), और गुणनफल (49-12=37) है, इसलिए (q=37)। अतः (p+q=23) है।

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