Question
In the questions, two equations I and II are given. You
have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. x² + 9x = 10 of 7 II. y² - 19y + 84 = 0Solution
From I: x² + 9x = 10 of 7 Or, x² + 9x = 70 Or, x² + 9x - 70 = 0 Or, x² + 14x - 5x - 70 = 0 Or, x(x + 14) - 5(x + 14) = 0 Or, (x - 5)(x + 14) = 0 So, x = 5 or x = -14 From II: y² - 19y + 84 = 0 Or, y² - 12y - 7y + 84 = 0 Or, y(y - 12) - 7(y - 12) = 0 Or, (y - 12)(y - 7) = 0 So, y = 12 or y = 7 Therefore, x < y.
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