Answer to Question #8834 in Algebra for Nick
Find all values x, in degrees, for which the two impulses meet in the interval 0°≤x≤360°. [Only an algebraic solution will be accepted.]
2sin²x = 1-sinx, 0°≤x≤360°.
2sin²x + sinx - 1 = 0 ==> sinx = (-1 ± 3)/4, so sinx = 1/2 or sinx = -1.
Taking into account that 0°≤x≤360°,
sinx = 1/2 ==> x = 30°;
sinx = -1& ==> x = 270°.
So, there are two points of intersection: 30° and 270°.
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