Consider a quadratic polynomial `P(x)=x^2+bx+c`, if the equation `x^2 + bx+c=2` has only one real solution `x=1`, then

If the equation |x^(2)+bx+c|=k has four real roots,then

Consider the polynomial P(x)=ax^3-x^2-bx-1 .Find P(1) .

The quadratic equation ax^(2)+bx+c=0 has real roots if:

The quadratic equation ax^(2)+bx+c=0 has real roots if:

A quadratic trinomial P(x)=ax^(2)+bx+c is such that the equation P(x)=x has no real roots.Prove that in this case equation P(P(x))=x has no real roots either.

A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)=x has no real roots. Prove that in this case equation P(P(x))=x has no real roots either.

A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)=x has no real roots. Prove that in this case equation P(P(x))=x has no real roots either.

A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)=x has no real roots. Prove that in this case equation P(P(x))=x has no real roots either.

If one zero of a quadratic polynomial p(x) =ax^(2)+bx+c is square of the other, then give the relation in a, b and c.

A quadratic trinomial P(x)=a x^2+b x+c is such that the equation P(x)=x has o real roots. Prove that in this case equation P(P(x))=x has no real roots either.