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Methods of Solving a Quadratic Equation

Irrational ro...

Question

Irrational roots of a quadratic equation with rational coefficients always occurs in conjugate pair.

A

False

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B

True

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Solution

The correct option is A False

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Q. Assertion :If one root is

\sqrt{3} - \sqrt{2}

, then the equation of lowest degree with rational coefficients

x^{4} - 10 x^{2} + 1 = 0

Reason: For polynomial equation with rational coefficients irrational roots occurs in pairs.

Q. Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational?

Question 4
Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify your answer.

Q. A quadratic equation with rational coefficients has both roots real and irrational, if the discriminant is

Q. Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational ? Justify your answer.

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Methods of Solving a Quadratic Equation

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