Total number of solutions of the equation 3x + 2tanx = (5( pie )) /2 in x belongs to [0, 2(pie)] is equal to..... ?

dear student


3x+2tanx=5π/22tanx=5π/2-3xtanx=5π/4-3x/2we plot graph of y=tan x and y=5π/4-3x/2and find number of points they intersect in 0,2π




from the graph, we see that the equation has three solutions.

so number of sol. = 3

regards

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