Question

Does there exist a quadratic equation whose coefficients are rationals but both of its roots are irrational? why ?

Answer 1

Yes, there exist such type of equations whose coefficients are rational but their roots are irrational .for eg x²+2x+3 this has irrational roots.
for a quadratic equation ax²+bx+c discriminant will be b²-4ac   if discriminant is greater than 0 we get real roots and if discriminant is less than zero we get irrational roots.

Answer 2

Plzzz check the attachment for answer... Hope it is help full