The solutions of the equation 2cos(2x) = x are (0.626, 0.626), (-1.607,-1.607) and (-1.798,-1.798)
<h3>How to solve the equation?</h3>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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In order to subtract fractions, we must find a common denominator, then subtract the numerators.
The common denominator (LCM(3, 5)) is 15.
We must multiply the first numerator by 5, because 3*5=15 and the second numerator by 3 because 5*3=15.
We get .
All we need to do now is subtract the numerators: .
The answer is 14/15.