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Paragraph: Consider the following for the next two (02) items that follow: A quadratic equation is given by (3+2 2 ) x^2-(4+2 3 ) x+(8+4 3 )=0 Question: What is the GM of the root of the equation?

Options

  1. A2 ( 6 - 3 + 2 -1)
  2. B2 ( 6 + 3 - 2 -1)
  3. C( 6 - 3 + 2 -1)
  4. D( 6 + 3 + 2 -1)

Correct answer

A. 2 ( 6 - 3 + 2 -1)

Step-by-step solution

GM = = 8+4 3 3+2 2 = (8+4 3 )(3-2 2 ) (3+2 2 )(3-2 2 ) = 4(6-4 2 +3 3 -2 6 ) = 2(12-8 2 +6 3 -4 6 ) = 2 [( 6 - 3 )^2+( 2 -1)^2+2( 6 - 3 )( 2 -1) . = 2( 6 - 3 + 2 -1)^2 = 2 ( 6 - 3 + 2 -1) .

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