Question
I. 2x2 - 5x - 33 =0 II. 2y2
+ 5y - 25 = 0Solution
I. 2x2 - 5x - 33 = 0 2x2 - 11x + 6x - 33 = 0 x (2x - 11) + 3 (2x - 11) = 0 (x + 3) (2x - 11) = 0 x = - 3, 11/2 II. 2y2 + 5y - 25 = 0 2y2 - 5y + 10y - 25 = 0 y (2y - 5) + 5 (2y - 5) = 0 (y + 5) (2y - 5) = 0 y = - 5, 5/2 Hence, relationship cannot be established between x and y.
If both the equations I and II given below are added, then find the product of roots of newly formed equation.
I: 3x2 + 9x + 5
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