Find the values of `a` for which the roots of the equation `x^2+a^2=8x+6a` are real.

The values of 'a' for which the roots of the equation x^(2) + x + a = 0 are real and exceed 'a' are

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

Find the values of a for which all roots of the equation 3x^(4) + 4x^(3) – 12x^(2) + a = 0 are real and distinct.

Find the value of k for which the roots of the quadratic equation 2x^(2) + kx + 8 = 0 will have equal value.

The least value of a,for which roots of the equation x^(2)-2x-log_(4)a=0 are real,is?

Find the value of k for which the roots of the quadratic equation 2x^(2)+kx+8=0 will have the equal roots ?

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 real and distinct

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 not real