one roots of the equation x^2-px+q is the square of the other. show that p^3-q(3p+1)-q^2=0

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IF `p^3-q(3p-1)+q^2=0` , find the relation between the roots of the equation `x^2+px+q=0`. IF `p^3-q(3p-1)+q^2=0` , find the relation between the roots of the equation `x^2+px+q=0`.
If one root of the equation x2 + px + q = 0 is the square of the other, then.... If one root of the equation x2 + px + q = 0 is the square of the other, then....
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Show that the equation x^2+px+q=0 and x^2+qx+p=0 have a common root ,if either p=q or p+q+1=0 Show that the equation x^2+px+q=0 and x^2+qx+p=0 have a common root ,if either p=q or p+q+1=0
One root of the equation `x^(2) = px +q` is reciprocal of the other and `p! One root of the equation `x^(2) = px +q` is reciprocal of the other and `p!