यदि \(x^2+ax+b=0\) की जड़ें \(\frac{1}{2+\sqrt{3}}\) और \(\frac{1}{2-\sqrt{3}}\) हैं, तो (a) का मान क्या है?

If the roots of \(x^2+ax+b=0\) are \(\frac{1}{2+\sqrt{3}}\) and \(\frac{1}{2-\sqrt{3}}\), what is the value of (a)?

Explanation opens after your attempt
Correct Answer

A. (-4)

Step 1

Concept

The given roots become \(2-\sqrt{3}\) and \(2+\sqrt{3}\). Their sum is (4), so (a=-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). The given roots become \(2-\sqrt{3}\) and \(2+\sqrt{3}\). Their sum is (4), so (a=-4).

Step 3

Exam Tip

दी गई जड़ें \(2-\sqrt{3}\) और \(2+\sqrt{3}\) बनती हैं। उनका योग (4) है, इसलिए (a=-4)।

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Mathematics Answer, Explanation and Revision Hints

यदि \(x^2+ax+b=0\) की जड़ें \(\frac{1}{2+\sqrt{3}}\) और \(\frac{1}{2-\sqrt{3}}\) हैं, तो (a) का मान क्या है? / If the roots of \(x^2+ax+b=0\) are \(\frac{1}{2+\sqrt{3}}\) and \(\frac{1}{2-\sqrt{3}}\), what is the value of (a)?

Correct Answer: A. (-4). Explanation: दी गई जड़ें \(2-\sqrt{3}\) और \(2+\sqrt{3}\) बनती हैं। उनका योग (4) है, इसलिए (a=-4)। / The given roots become \(2-\sqrt{3}\) and \(2+\sqrt{3}\). Their sum is (4), so (a=-4).

Which concept should I revise for this Mathematics MCQ?

The given roots become \(2-\sqrt{3}\) and \(2+\sqrt{3}\). Their sum is (4), so (a=-4).

What exam hint can help solve this Mathematics question?

दी गई जड़ें \(2-\sqrt{3}\) और \(2+\sqrt{3}\) बनती हैं। उनका योग (4) है, इसलिए (a=-4)।