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SMO 2005 Senior Round 1 Question 25

SMO · SMO 2005 Senior Round 1

Question 25

Let $a,b,c$ be the lengths of the three sides of a triangle. Suppose $a,b$ are the roots of the equation
$$x^2+4(c+2)=(c+4)x,$$
and the largest angle of the triangle is $x^\circ$. Find the value of $x$.