In ABC, AB = x cm, AC = (5 + x) cm and BAC = 150. Given

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In △ABC, AB = x cm, AC = (5 + x) cm and ∠BAC = 150°. Given that the area of the triangle is 3(3/4)cm2

a. Show that x satisfies the equation x2 + 5x − 15 = 0.

b. Calculate the value of x, giving your answer to 3 significant figures.

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