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

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Does there exist a quadratic equation whose coefficients are rational but both of its roots are irrational? Justify you answer.
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Yes, consider the quadratic equation `2x^(2)+x-4=0` with rational coefficient. The roots of the given quadratic equation are `(-1+sqrt(33))/4` and `(-1-sqrt(33))/4` are irrational.
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