If `a gt 1` , then the roots of the equation `(1-a)x^(2)+3ax-1=0` are

If a gt 2 , then the roots of the equation (2-a)x^(2)+3ax-1=0 are

If a gt 1, roots of the equation (1-a)x^(2) + 3ax - 1 = 0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

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

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

A student notices that the roots of the equation x^(2)+bx+a=0 are each 1 less than the roots of the equation x^(2)+ax+b=0 . Then a+b is.

If both the roots of the equation ax^(2)+(3a+1)x-5=0 are integers, then the integral value of a is