In ABC, AB = (5 x) cm, BC = (4 + x) cm, ABC = 120

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In △ABC, AB = (5 − x) cm, BC = (4 + x) cm, ∠ABC = 120° and AC = y cm.

a. Show that y2 = x2 − x + 61.

b. Use the method of completing the square to find the minimum value of y2, and give the value of x for which this occurs.

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