Question

( alpha+beta=a, quad alpha cdot beta=b )
( alpha+k+beta+k=b quad(alpha+B)(beta+k)=a )
( a+2 k=b quad alpha cdot beta+k^{2}+k(alpha+beta)=a )
( k^{2}+a k=-2 k )
( k^{2}+k(a+2)=0 )
( k^{2}=0 )
( k=-a-2 )
( Rightarrow a+2(-a-2)=b )
( Rightarrow a-2 a-4=b )
( Rightarrow quad-a-4=b )
( a+b+4=0 )

# PASSAGE - 1 aber, roots of x² + ax + b = 0 are a B and roots of x2 + bx + a=0 are at where k 70, a + b 1. Which of the following hold? (A) a+b=0 (B) a + b +4= 0 (C) a + b + 1 = 0 (D) none 2. If ab = 1 then interval for 2 is (A) (-0,4] (B) (-0,4) (C) (-0,0] (D) none

Solution