I presume that you are asking:
2 * sin^2(x) + 5*sin(x) + 3 = 0
This one is actually easy and you can avoid doing any tedious calculations by noticing that the range of sin(x) is [-1,1] while the range of sin^2(x) is [0,1]. Also note that every time sin(x) = -1, sin(x)^2 = (-1)^2 = 1.
Like good little Calculus students, we remember the unit circle which we memorized in high school trigonometry/advanced algebra/precalculus. The unit circle reminds us that sin(x) = -1 when x is (3/2) * pi. We also remember that sin(x) repeats itself for every 2*pi.
So our solution set is:
(3/2)*pi + 2*pi*n, where n is any integer.
Chat with our AI personalities
y - 3 = 0 y = 3
5x2 + 15x = 0 5x(x + 3) = 0 therefore, x = 0 or x + 3 = 0 that is, x = 0 or x = -3
x2 + 4x + 3 = 0 (x + 1)(x + 3) = 0 x ∈ {-3, -1}
4x2 - 13 x + 3 = 0 (4x - 1)(x - 3) = 0 x = 3, 1/4
Well if you mean you have to solve w^3+27 then I guess make it = 0 then solve it w^3+27=0 -27 w^3=27 3rd root w=-3 ~¤~Amy~¤~