Let 'a' and 'b' be integers neither wof which is equal to zero. Prove that the equation...
a^2x^3 + b^2x^2 – 1 = 0
...has no integer roots.
For which real values of 'a' do the equations...
x^3 + ax + 1 = 0 and x^4 + ax^2 + 1 = 0
...have a common root?