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    Question

    Equation 1: 2x2 - 21x + 54 = 0

    Equation 2: 4y2 - 23y + 15 = 0 Difference between the roots of equation 1 is approximately how much% more or less than the sum of roots of equation 2 ?
    A 73.91% Correct Answer Incorrect Answer
    B 62.01% Correct Answer Incorrect Answer
    C 52.10% Correct Answer Incorrect Answer
    D 55.17% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    We know that, Difference = (√(b2 – 4ac))/a = √(441 – 432)/2 = 3/2 = 24/16 (Multiplying Numerator and Denominator by 8) Sum = -b/a = 23/4 = 92/16 (Multiplying Numerator and Denominator by 4) Required % = (92 – 24)/92 × 100 = 73.91%

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