The equation `x + cos x = a` has exactly one positive root. Complete set of values of `'a'` is

The equation sin x + x cos x = 0 has at least one root in

The equation sin x+x cos x=0 has at least one root in

Prove that the equation x^(3) + x – 1 = 0 has exactly one real root.

If both the roots of the equation x^(2)+(a-1) x+a=0 are positive, the the complete solution set of real values of a is

If both the roots of the equation x^(2)+(a-1) x+a=0 are positive, the the complete solution set of real values of a is

" If "tan^(2)x+sec x=a+1" has at least one solution,then the complete set of values of "a" is "

The equation 2x^2 + (a - 10)x + 33/2 = 2a has real roots. Find least positive value of a.