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Consider the equation: k x+ 2 x=2 k-7 If the equation possesses solution, then what is the maximum value of k ?

Options

  1. A1
  2. B2
  3. C4
  4. D6

Correct answer

D. 6

Step-by-step solution

For maximum value of K , x=1 aligned & K K^2-16 K+64 4 =1 & ( ) K^2-16 K+64 =(-K+4) aligned Squaring both sides, we get aligned & K^2-16 K+64=K^2+16-8 K & 8 K=48 & K=6 aligned

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