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BITSAT2020MathematicsTrigonometric Ratios & IdentitiesActual

The equation ⁴ x-(k+2) ² x-(k+3)=0 possesses a solution if

Options

  1. Ak>-3
  2. Bk<-2
  3. C-3 k -2
  4. Dk is any positive integer

Correct answer

C. -3 k -2

Step-by-step solution

We have, ⁴ x-(k+2) ² x-(k+3)=0 ² x= (k+2) (k+2)²+4(k+3) 2 = (k+2) (k+4) 2 ² x=k+3 ( ² x=-1 . is not possible) Since 0 ² x 1 0 k +3 1 or -3 k -2

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