Does there exist a quadratic equation whose co-efficients are rational but both of its roots are irrational? Justify your answer

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asked Mar 12, 2018 in Mathematics by Golu (37,045 points) 19 145 416
Does there exist a quadratic equation whose co-efficients are rational but both of its roots are irrational? Justify your answer

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answered Mar 12, 2018 by faiz (82,347 points) 6 6 11
 
Best answer

Yes, x2 – 4x + 1 = 0 is a quadratic equation with rational coefficients.

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