What is the sum of the squares of the roots of the equation x2-2x-3=0?

What is the sum of the squares of the roots of the equation x²-2x-3=0?

A 6

B 8

C 10

D 12

Correct Answer: Option C

x2-2x-3 =0 x2-3x+x-3=0 x(x-3)+1(x-3) =0 (x+1)(x-3)=0 x=-1 x=3 so , (-1)2 +(3)2 =10