Let S be a set of values of 'a' for which 2 lie between the roots of quadratic equation `x^2+(a+2)x-(a+3)=0` then S is given by

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

Let A be the set of values of k for which 2 lies between the roots of the quadratic equation x^(2)+(k+2)x-(k+3)=0 , then A is given by

Let S denotes the set of real values of 'a' for which the roots of the equation x^2-ax-a^2 = 0 exceeds 'a', then S equals to

Let S denotes the set of real values of 'a' for which the roots of the equation x^2-ax-a^2 = 0 exceeds 'a', then S equals to

The set of real values of a for which the quadratic equation ax^(2)+(2a-3)x+5=0 possesses roots of opposite signs is given by

The values of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1 are given by

Let S denote the set of all real values of a for which the roots of the equation x^(2) - 2ax + a^(2) - 1 = 0 lie between 5 and 10, then S equals

Let S denote the set of all real values of a for which the roots of the equation x^(2) - 2ax + a^(2) - 1 = 0 lie between 5 and 10, then S equals

Find the complete set of real values of 'a' for which both roots of the quadratic equation (a^(2)-6a+5)x^(2)-sqrt(a^(2)+2ax)+(6a-a^(2)-8)=0 lie on either side of the origin

Write the set of values of k for which the quadratic equation has 2x^2+k x-8=0 has real roots.