The equation `sin^6x + cos^6x = a^2` has real solution then find the values of `a`

If the the equation a sin x + cos 2x=2a-7 possesses a solution, then find the values of a.

The equation "sin"^(6) x + "cos"^(6) x = lambda , has a solution if

The solution of the equation sin^6x+cos^6x = a^2

The equation sin x(sinx+cos x) = k has real solutions, where k is a real number. Then

Find the range of y such that the equation in x , y + cos x = sin x has a real solutions . For y=1 , find x such that 0 lt x lt 2 pi

If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then find all possible value of adot

If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then find all possible value of adot

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If 1 is a root of the quadratic equation 3x^2+a x-2=0 and the quadratic equation a(x^2+6x)-b=0 has equal roots, find the value of bdot