Mathematics

Mathematics

Problem

Suppose a,ba, b denote the distinct real roots of the quadratic polynomial x2+20x−2020x^2 + 20x - 2020 and suppose c,dc, d denote the distinct complex roots of the quadratic polynomial x2−20x+2020x^2 - 20x + 2020, then the value of ac(a−c)+ad(a−d)+bc(b−c)+bd(b−d)ac(a-c) + ad(a-d) + bc(b-c) + bd(b-d) is (A) 0 (B) 8000 (C) 8080 (D) 16000

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