Question

In each of the following questions, there are two equations. You have to solve both equations and mark the correct answer.

I. x2 - 9x - 52 = 0

II. y2 - 16y + 63 = 0

A if x>y Correct Answer Incorrect Answer
B if x Correct Answer Incorrect Answer
C if x≥y Correct Answer Incorrect Answer
D if x=y or relationship cannot be established. Correct Answer Incorrect Answer

Solution

I. x2 - 9x - 52 = 0 => x2 - 13x + 4x - 52 = 0 => x(x - 13) + 4(x - 13) = 0 => (x - 13) (x + 4) = 0 => x = 13, -4 II. y2 - 16y + 63 = 0 => y2 - 9y - 7y + 63 = 0 => y(y - 9) - 7(y - 9) = 0 => (y - 9) (y - 7) = 0 => y = 9, 7 Hence, the relationship cannot be established between x and y.

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