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ISRO 2011- ECE Linear algebra

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The given equation is an upward parabola. So the minimum value of y exists at the bottommost point of the graph, where the slope is zero. So differentiating the given equation w.r.t x and equating it to zero will give you the answer. 

dy/dx = 0

2 * x - 3 = 0 ; x = 3/2. 

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