The total number of solutions of
x2-4-[x]=0 is(where [.] denotes the greatest integer function).
The total number of solutions of
x2-4-[x]=0 is(where [.] denotes the greatest integer function).
ANKUR GUPTA , 16 Years ago
Grade 12
Differential Calculus> Question...
1 Answers
Vanya Saxena
x2-4-[x]=0
=>x2-4=[x]
Now we plot the graph for y=x2-4 which is an opening upwards parabola with vertex (0,-4)
Next we plot the graph for y=[x] which is the graph of greayest integer function.
On plotting the graohs we see that the two graphs intersect at two pts.
So the no. of solutions for the given equation are 2.
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