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BITSAT2022MathematicsQuadratic EquationActual

If be a root of the equation 4 x^2+2 x-1=0 , then the other root of the equation is

Options

  1. A4 ^3+2
  2. B4 ^2-2
  3. C4 ^3-3
  4. D4 ^3+3

Correct answer

C. 4 ^3-3

Step-by-step solution

4 x^2+2 x-1=0 + =- 1 2 , =- 1 4 Also, 4 ^2+2 -1=0 as is a root and we have to prove that =4 ^3-3 . Now, 4 ^3-3 =4 ^2 -3 = (1-2 )-3 =-2 ^2-2 =- 1 2 [4 ^2+4 ]=- 1 2 [1-2 +4 ]=- 1 2 (1+2 )=- 1 2 - = Now, + =- 1 2 [from Eq. (i)] Hence, =4 ^3-3 .

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