Which of the following is the standard representation of quadratic equation (x - 4) (x + 1) = 2? 

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RRB Group D 19 Sept 2022 Shift 1 Official Paper
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  1. x2 - x - 2 = 0
  2. x2​ - 3x - 4 = 0
  3. x2​ - 3x - 6 = 0
  4. x2​ - 4x - 2 = 0

Answer (Detailed Solution Below)

Option 3 : x2​ - 3x - 6 = 0
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Detailed Solution

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Given:

(x - 4) (x + 1) = 2

Calculation:

Simplifying the given expression,

\({(x-4)(x+1)}=2\\ x^2+x-4x-4=2\\ x^2-3x-4=2\\ x^2-3x-4-2=0\\ x^2-3x-6=0\)

Therefore, the standard representation of the quadratic equation (x - 4) (x + 1) = 2 is x2​ - 3x - 6 = 0.

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