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If the roots of a quadratic equation are -1 and 3, then the quadratic equation is

If one root of a quadratic equation is 2 + sqrt5 , then find the quadratic equation.

A quadratic equation is chosen from the set of all the quadratic equations which are unchaged by squaring their roots. The chance that the equation has unequal roots is

A quadratic equation is chosen from the set of all quadratic equations which are unchanged by squaring the roots. The chance that the chosen equation has equal root, is