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Manipal MET2013MathematicsTrigonometric Equations

The number of solutions of the equation 1+ x ^2 x 9 =0 in [- , ] is

Options

  1. Azero
  2. B1
  3. C2
  4. D3

Correct answer

A. zero

Step-by-step solution

1+ x ^2 x 2 =0 array rrr & 2+2 x ^2 x 2 & =0 & 2+ x(1- x) & =0 & 4+2 x(1- x) & =0 & 4+2 x- 2 x & =0 & 2 x=2 x+4 array Above is not possible for any value of x as LHS has maximum value 1 and RHS has minimum value 2. Hence, there is no solution.

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