If one zero of a quadratic polynomial with rational coefficients is (\frac{3+\sqrt{5}}{2}), what will be the other zero?
Answer and explanation
Correct answer: (\frac{3-\sqrt{5}}{2})
With rational coefficients, the conjugate of the irrational part is also a zero. Hence (\frac{3-\sqrt{5}}{2}) is the other zero.
Frequently asked questions
What is the correct answer to this question?
(\frac{3-\sqrt{5}}{2})
Why is this the correct answer?
With rational coefficients, the conjugate of the irrational part is also a zero. Hence (\frac{3-\sqrt{5}}{2}) is the other zero.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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