यदि किसी द्विघात बहुपद के परिमेय गुणांक हैं और एक शून्यक \(3+\sqrt{5}\) है, तो दूसरा शून्यक क्या होगा?
If a quadratic polynomial has rational coefficients and one zero is \(3+\sqrt{5}\), what will be the other zero?
Explanation opens after your attempt
Correct Answer
A. \(3-\sqrt{5}\)
Concept
For a quadratic with rational coefficients, \(a-\sqrt{b}\) accompanies \(a+\sqrt{b}\). Remember this as the conjugate-zero rule.
Why this answer is correct
The correct answer is A. \(3-\sqrt{5}\). For a quadratic with rational coefficients, \(a-\sqrt{b}\) accompanies \(a+\sqrt{b}\). Remember this as the conjugate-zero rule.
Exam Tip
परिमेय गुणांकों वाले द्विघात में \(a+\sqrt{b}\) के साथ \(a-\sqrt{b}\) भी शून्यक होता है। परीक्षा में इसे संयुग्मी शून्यक नियम की तरह याद रखें।
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