If x(x-5)(x+2)=0, is x negative? 1) x^2-7x<>0 2) : Quant Question Archive [LOCKED]
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If x(x-5)(x+2)=0, is x negative? 1) x^2-7x<>0 2)

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If x(x-5)(x+2)=0, is x negative? 1) x^2-7x<>0 2) [#permalink]

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16 Oct 2005, 11:42
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x(x-5)(x+2)=0, is x negative?

1) x^2-7x<>0
2) x^2-2x+15<>0

Pls show working.......
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16 Oct 2005, 12:10
trickygmat wrote:
If x(x-5)(x+2)=0, is x negative?

1) x^2-7x<>0
2) x^2-2x+15<>0

Pls show working.......

I get C

1) x(x-7) <> 0 => x<>0, x-7<>0 Insuff.
2) x^2-2x+15 <> 0 => x-5<>0 , x+3 <> 0 Insuff.
From 1) & 2) we get x<>0, x-5<>0 then x+2 must be 0
or x+2=0 or x = -2 => x is negative.
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-Vikram

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16 Oct 2005, 12:22
vikramm wrote:
I get C.
2) x^2-2x+15 <> 0 => x-5<>0 , x+3 <> 0 Insuff.

just a quick response........ here, the factors of x^2-2x+15 can not be (x-5) and (x+3). (x-5) and (x+3) are factors of x^2-2x-15.

probably answer is E, but i need to verify...
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16 Oct 2005, 12:37
HIMALAYA wrote:
vikramm wrote:
I get C.
2) x^2-2x+15 <> 0 => x-5<>0 , x+3 <> 0 Insuff.

just a quick response........ here, the factors of x^2-2x+15 can not be (x-5) and (x+3). (x-5) and (x+3) are factors of x^2-2x-15.

probably answer is E, but i need to verify...

Doh!!! You are correct...
I may be heading E's way too then...
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-Vikram

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17 Oct 2005, 06:30
vikramm wrote:
trickygmat wrote:
If x(x-5)(x+2)=0, is x negative?

1) x^2-7x<>0
2) x^2-2x+15<>0

Pls show working.......

I get C

1) x(x-7) <> 0 => x<>0, x-7<>0 Insuff.
2) x^2-2x+15 <> 0 => x-5<>0 , x+3 <> 0 Insuff.
From 1) & 2) we get x<>0, x-5<>0 then x+2 must be 0
or x+2=0 or x = -2 => x is negative.[/quote

Hi Vikramm,

can you pls explain how can we arrive at x=-2 taking x^2 -2x -15 as the equation.
Re: d/s   [#permalink] 17 Oct 2005, 06:30
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