Does there exist a quadratic equation whose coefficients are all distinct irrationals but both the roots are rationals? Why?

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

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

The quadratic equation whose roots are -2,1 is

The quadratic equation whose roots are 2,3 is…

For a quadratic equation whose roots are 4 and -12.

Form a quadratic equation whose roots are -4 and 3.

Form a quadratic equation whose roots are -4 and 6.

Form a quadratic equation whose roots are -4 and 6.

What is the quadratic equation whose roots are 5 and 2