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KVPY2015MathematicsBasics of Mathematics

If _ (3 x-1) (x-2)= _ (9 x²-6 x+1 ) (2 x²-10 x-2 ) , then x equals.

Options

  1. A9- 15
  2. B3+ 15
  3. C2+ 15
  4. D6- 5

Correct answer

B. 3+ 15

Step-by-step solution

array l _ (3 x-1) (x-2)= _ (i x²-6 x+1 ) (2 x²-10 x-2 ) _ (3 x-1) (x-2)= _ (3 x-1) 2 x²-10 x-2 x-2= 2 x²-10 x-2 array Square array l x²-4-4 x=2 x²-10 x-2 x²-6 x-6=0 x= 6 36-4(-6) 2 x= 6 2 15 2 x=3+ 15 possible array

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