The quadratic equations \( 2006 x^{2}+2007 x+1=0 \) \( \& x^{2}+2007 x+2006=0 \)

Question

4. The quadratic equations \( 2006 x^{2}+2007 x+1=0 \) \( \& x^{2}+2007 x+2006=0 \) have a common root. Then product of the uncommon roots is (A) -1 (B) 1 (C) 2006 (D) 2007

Answer 1

rambha6810, hello

The roots of the first equation are -1/2006 and -1

The roots of the second equation are -1 and -2006

Then the product of the uncommon roots is (B) 1