Question

Sol) ( x^{2}-(a+2) x-(a+2 b)<0 )
( x=frac{a+2 pm sqrt{(a+2)^{2}+4 a+12}}{2} leq 0 )
( a+2 pm sqrt{a^{2}+4+4 a+4 a+12}<0 )
( Rightarrow a+2+sqrt{a^{2}+8 a+16}<0 )
( left(2(2)(a+4)^{2}<-2-aright. )
both sal
( a+4<-2-a )
( 2 a<-6 )
( a<-3 )
( & a+2-sqrt{(a+4)^{2}}<0 )
( a+2

# 22 The set of values of 'a' for which the inequality x2 - (a + 2)x - (a + 3) < 0 is satisfied by atleast one positive real x, is- (A) (-3,0) (B) (-3,0) (C) (-0, -3) (D) (-0, 3]

Solution