Probably the easiest and least time consuming method to solve this problem is to apply the concept of graphs. The concept is : the number of solutions or roots of the equation f(x) = g(x) are the number of points at which the graphs of f(x) and g(x) intersects each other. (f(x) and g(x) are functions of x)satyavegi wrote:Q)How many roots does the equation 2^x=x-1 have?
In this case, let us assume f(x) = 2^x and g(x) = (x - 1)
Now their graphs will be as shown in the following figure,
As they do not intersect at any point, there is no solution or roots of the equation 2^x = x - 1.
The correct answer is A.
