1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x) be a cubic polynomial which has local maximum at x=-1 and f prime(x) has a local minimum at x=1. If f(-1)=10 and f(0)=5. If x1, x2, x3 are the real roots of f(x)=0 then [x1]2+[x2]2+[x3]2 is equal to [Note: [ k ] denotes the greatest integer less than or equal to k. ]

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Q. Let $f(x)$ be a cubic polynomial which has local maximum at $x=-1$ and $f^{\prime}(x)$ has a local minimum at $x=1$. If $f(-1)=10$ and $f(0)=5$.
If $x_1, x_2, x_3$ are the real roots of $f(x)=0$ then $\left[x_1\right]^2+\left[x_2\right]^2+\left[x_3\right]^2$ is equal to
[Note : [ $k ]$ denotes the greatest integer less than or equal to $k$. ]

Application of Derivatives

Solution:

Correct answer is (d) 25