The solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)
How to solve the equation?
The equation is given as:
2cos(2x) = x
Split the equation as follows:
y = 2cos(2x)
y = x
Next, we plot the graph of y = 2cos(2x) and y = x (see attachment)
From the attached graph, y = 2cos(2x) and y = x intersect at the following points
(x, y) = (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)
Hence, the solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)
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