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Mathematics

If one root of a quadratic equation with rational coefficients is 3−52\dfrac{3 - \sqrt{5}}{2}, then the other root is

  1. −3−52\dfrac{-3 - \sqrt{5}}{2}

  2. −3+52\dfrac{-3 + \sqrt{5}}{2}

  3. 3+52\dfrac{3 + \sqrt{5}}{2}

  4. 3+52\dfrac{\sqrt{3} + 5}{2}

Quadratic Equations

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Answer

Irrational roots occur in conjugate pair .

Hence if one root is 3−52\dfrac{3 - \sqrt{5}}{2} then the other root is =

3+52\dfrac{3 + \sqrt{5}}{2}

∴ Option 3 is the correct option

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