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TIFR Mathematics 2022 | Part A | Question: 3

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What is the number of solutions of: \[ x=\frac{x^{2}}{50}-\cos \frac{x}{2}+2 \] in $[0,10]?$ 

  1. $0$
  2. $1$
  3. $2$
  4. $\infty$
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