For what values of a does the equation(2-x)(x+ 1)=a posses positive and real roots?

For what values of 'a' does the quadratic equation x^(2)-ax+1=0 not have real roots?

For what values of a does the equation x^(2)+2a sqrt(a^(2)-3x)+4=0 possess equal roots?

For what value of a, does the function f (x) = x ^(5) - 5x + a has three real roots ?

For what values of 'a' does the quadratic equation x^(2) - ax + 1 = 0 not have real roots ?

For what values of k does the quadratic equation 4x^(2) - 12x - k =0 have no real roots ?

For what real values of k the equation 9x^(2)+8Kx+16=0 have real and equal roots?

Find the roots of the equation x^(2) +7x+10=0 OR For what value(s) of ‘a’ quadratic equation 30 ax^(2) -6x+1=0 has no real roots?

For what values of a does the equation x^(2)-(2^(a)-1)x-3(4^(a-1)2^(a-2))=0 possess real roots?

Find the set of all real values of a for which equation (x)/(x^(2)-5x+9)=a posses atleast one real solution.