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If ( lambda^2+lambda-2)x^2 +(lambda+2)x please help to solve

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

Grade:

2 Answers

gOlU g3n|[0]uS
42 Points
11 years ago

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

aditya mittal
30 Points
3 years ago

 

( λ2 + λ-2) x2 + ( λ + 2)x - 1

                               D

                          b2 - 4ac

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

 

λ=(-2,2/5)

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