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If (x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0, what is the ratio of the

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If (x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0, what is the ratio of the  [#permalink]

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New post 07 Mar 2019, 02:47
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A
B
C
D
E

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  25% (medium)

Question Stats:

82% (00:48) correct 18% (00:22) wrong based on 11 sessions

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Concentration: Accounting, Finance
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If (x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0, what is the ratio of the  [#permalink]

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New post 07 Mar 2019, 02:55
Bunuel wrote:
If \((x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0\), what is the ratio of the greatest possible value of x to the least possible value of x?

A. -1/3

B. -2/9

C. 3/2

D. 3

E. 9/2



NOTE: Ultimate result is 0. Thus , for each equal positive or negative value of x , this equation holds true. Another thing is that there is multiplication relationship among all the items.

Given,

\((x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0\)

we will try to take one positive and one positive value.

x + 9 = 0

x = -9.............This is least


one positive value.

x - 3 = 0

x = 3.


Required Ratio : 3/-9 = - 1/3.

A is the correct answer.
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If (x - 2)(x + 2)(x - 3)(x + 5)(x + 9) = 0, what is the ratio of the   [#permalink] 07 Mar 2019, 02:55
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