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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
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,∞)...
( 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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