olymmath

TH-TMO 2010 Problem 9

    Let a,b,ca, b, c be real numbers so that all roots of the equation 2x5+5x4+5x3+ax2+bx+c=02x^5 + 5x^4 + 5x^3 + ax^2 + bx + c = 0 are real. Find the smallest real root of the equation above.

    Dataset text AI-MO AoPS. Quoted with source.

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