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 real roots of the equation . x^2+5|x|+6=0

Product of real roots of the equation x^(2)+|x|+9=0

If the roots of the equation x^2-2a x+a^2-a-3=0 are real and less than 3, then

For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

Determine the nature of the roots of the equation 2x^(2) + x - 1 = 0

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

If (1+i) is a root of the equation x^(2)-x+(1-i)=0 , then the other root is

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are