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sudha Grade:
        

If (lambda^2+lambda-2)x^2 +(lambda+2)x<1,x is an element of R,then lambda belongs to the interval-


please help to solve

6 years ago

Answers : (1)

gOlU g3n|[0]uS
42 Points
										

DEAR sudha,                 


                           ( λ2 + λ-2) x2 + ( λ + 2)x - 1<0


                               D < 0


                          b2 + 4ac < 0


                        ( λ + 2)2 + 4 ( λ2 + λ - 2)(-1) < 0


                        -3 λ2 +12 < 0


                         ( λ - 2)( λ + 2) > 0      λ = (-2,-∞) U (2,∞)...Smile

6 years ago
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