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

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 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 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 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 (i) real and distinct (ii) equal (iii) opposite in sign (iv) equal in magnitude but opposite in sign (v) positive (vi) negative (vii) greater than 3 (viii) smaller than 3 (ix) such that both the roots lie in the interval (1, 3)

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 greater than 3.

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 negative