For what value(s) of `lamda` the quadratic equation `x^(2)+lamdax+(lamda+1.25)=0` has :
(i) coincident roots (ii) real and distinct roots (iii) no real roots?

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

Find all values of the parameter a for which the quadratic equation (a+1)x^(2)+2(a+1)x+a-2=0 (i) has two distinct roots. (ii) has no roots. (iii) has to equal roots.

The value of p for which the quadratic equation 2px^(2) + 6x + 5 = 0 has real and distinct roots is

(x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots (iii) no real roots (iv) one real root

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots