Find the smallest positive integral value of a for which the greater root of the equation `x^2-(a^2+a+1)x+a(a^2+1)=0` lies between the roots of the equation `x^2-a^2x-2(a^2-2)=0`

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.

FInd the roots of the equation 2x^(2)-x+(1)/(8)=0

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

Set of values of 'a' for which both roots of the equation x^(2) - 2x - a^(2) = 0 lie between the roots of the equation x^(2) - 2x + a^(2) - 11a + 12 = 0 , is

For what real values of a do the roots of the equation x^(2)-2x-(a^(2)-1)=0 lie between the roots of the equation x^(2)-2(a+1)x+a(a-1)=0

Find the roots of the equation 2x^2 - x + 1/8 = 0

Find the roots of the equation 2x^2 - x + 1/8 = 0

Find all values of a for which atleast one of the roots of the equation x^(2)-(a-3)x+a=0 is greater than 2

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).