The roots of a quadratic equation `x/p = p/x` are

If the roots of the quadratic equation x^2+p x+q=0 are tan30^0 and tan15^0, respectively, then find the value of q-p .

If the A.M. and G.M. of the roots of a quadratic equation in x are P and q respectively then the equation is

If A.M and G.M of the roots of a quadratic equation in x are p and q repectively then its equation is

If a, p are the roots of the quadratic equation x^2 - 2p (x - 4) - 15 = 0 , then the set of values of p for which one root is less than 1 and the other root is greater than 2 is:

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0a n dalpha^2,beta is the roots of quadratic equation x^2-q x+8=0 , then the value of rifr/8 is the arithmetic mean of p a n d q , is

If both roots of the quadratic equation (2-x)(x+1)=p are distinct & interval positive,then p must lie in the,interval

If the roots of a quadratic equation be p+q and p-q, then find the equation.