Find the values of the parameter a for which `4^x-a.2^x-a+3 <= 0` for atleast one real x.

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 equal

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

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 positive

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 equal

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

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 equal

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