An algebra problem by Paul Ryan Longhas

Algebra Level 3

Find the sum of the real roots that satisfy the equation

(x2+1)(x2+2)(x2+3)(x2+4)120=0  .\large (x^2 +1)(x^2 + 2)(x^2 + 3)(x^2 + 4) -120 = 0 \; .

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