If `alpha,beta` are the roots of the 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

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:

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

f(x)=x^2-(m-3)x+m =0 is a quadratic equation, find values of m for which one root is smaller than 2, other root is greater than 2

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are such that one root is greater than 3 and the other root is smaller than 1

If alpha,beta be the roots of the equation x^(2)-px+q=0 then find the equation whose roots are (q)/(p-alpha) and (q)/(p-beta)

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that one root is greater than 3 and the other root is smaller than 1.