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Question

Mathematics Question on Quadratic Equations

Suppose a,ba, b denote the distinct real roots of the quadratic polynomial x2+20x2020x^{2}+20 x-2020 and suppose c,dc, d denote the distinct complex roots of the quadratic polynomial x220x+2020x^{2}-20 x+2020. Then the value of ac(ac)+ad(ad)+bc(bc)+bd(bd)a c(a-c)+a d(a-d)+b c(b-c)+b d(b-d) is

A

0

B

8000

C

8080

D

16000

Answer

16000

Explanation

Solution

The Correct Option is (D):16000