Function question for powerplay

fund the condition such that

(2x-1)/(2x3+3x2+x)>0

12 Answers

13
MAK ·

is it for powerplay or is it only for powerplay...!!! [6] [4]

62
Lokesh Verma ·

:D

if u can beat him ;)

13
MAK ·

Ans : R- {[0,1/2]∩[-1,-1/2]}

[1]

106
Asish Mahapatra ·

Ans is (-infinity, -1)U(-1/2,0)U(1/2, infinity)

is this correct??

1
rahul1993 Duggal ·

pls correct me if im wrong

13
MAK ·

u haven't considered all cases rahul... think over ur solution once again, u'll find d missing cases n conditions easily.... [1]

13
MAK ·

@asish...

both our answers are same... so v can be sure dat v r correct... [1]

341
Hari Shankar ·

It is equivalent to

(x+1)(x+1/2) x (x-1/2)>0

Now its immediately obvious that the intervals are R-[(-1, -1/2) U (0, 1/2)]

1
pankaj sachan ·

answer is (-∞,-1)Ï
(-1/2,0)Ï
(1/2, ∞)
given problem can be rewritten as

(2x-1)/[x(2x+1)(x+1)]
so critical points are -1, -1/2, 0, 1/2

therefore it will be +ve in the above given range.

1
rahul1993 Duggal ·

@MAQ can you please tell me which cases i have missed because a fraction can be positive if both the numerator and the denominator are positive or negative

11
Subash ·

@rahul1993
in case 1 in the denominator two inequalities can arise when u take x common outside cant it ??

1
pankaj sachan ·

u have not missed any case but ur soving is wrong

2x3+3x2+x >0
x(2x2+3x+1) >0
x(2x+1)(x+1) >0

then from this case u get (-1, -1/2)Ï
(0, ∞)

so x >1/2

in second case
u get (-∞ ,-1)Ï
(-1/2, 0)

so u get (-∞ ,-1)Ï
(-1/2, 0)

so final answer will be union of both

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