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    Question

    In the following question two equations are given in variables 'x' and 'y' On the basis of these equations you have to decide the relation between 'x' and 'y' and give answer.

    l. x2 - 16x + 64 = 0 II.

    y2 = 64
    A x < y Correct Answer Incorrect Answer
    B x > y Correct Answer Incorrect Answer
    C x=y or relationship between x and y can’t be established. Correct Answer Incorrect Answer
    D x ≥ y Correct Answer Incorrect Answer
    E x ≤ y Correct Answer Incorrect Answer

    Solution

    ATQ, From l. x2 - 16x + 64 = 0 x2 - (8+8) + 64 = 0 x2 - 8x - 8x + 64 = 0   x(x-8) - (x - 8) = 0   x - 8 = 0 or x - 8 = 0   Hence x = 8   From II: y2 = 64   Let's solve your equation step-by-step. y2 = 64 Step 1: Take square root. y = ± √64 y = 8 or y = − 8 Hence, x ≥ y

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