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SBI Junior Associate 2023 · Question 14 of 188

If the quadratic equation formed by using the root values 1/5 and 2/3 is divided by 2 and then (2.5x^2 - 0.5x) is added to the equation, then what will be the root values of the resultant equation?

quadratic-equations

  1. AA. +1/10, +2/3
  2. BB. +1/3, +4/5
  3. CC. +1/2, +1/5Correct
  4. DD. +1/6, +3/5
  5. EE. None of these

Answer: C. C. +1/2, +1/5

Explanation

(15x^2 - 13x + 2)/2 + 2.5x^2 - 0.5x = 0; 7.5x^2 - 6.5x + 1 + 2.5x^2 - 0.5x = 0; 10x^2 - 7x + 1 = 0; 5x(2x - 1) - (2x - 1) = 0; x = +1/2, +1/5.

Source: SBI Clerk Mains Memory Based Paper 2023 - Quant (Guidely, via bhagyaachievers.com) · memory-based

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