Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?
NCERT Class X
Mathematics - Exemplar Problems
Chapter _QUADRATIC EQUATIONS
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55
Nope It is because If the roots are rational then automatically after calculation the product will also be rational and if the roots are irrational then the roots will also be irrational.I'm talking about quadratic equations but in bi-quadratic equations the case is not possible if the coefficients are irrational then the roots can be rational
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PLZZ check the attachment for answer.... Hope it is help full
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