If v1 and v2 are distinct values of v such that : PS Archive
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# If v1 and v2 are distinct values of v such that

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If v1 and v2 are distinct values of v such that [#permalink]

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09 Jul 2006, 01:38
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If v1 and v2 are distinct values of v such that v^5-25v^3+294v=150v , then v1-v2 could NOT be

(A) 4 (B) 7 (C) -7 (D) 2 (E) -1
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09 Jul 2006, 01:50
kevincan wrote:
If v1 and v2 are distinct values of v such that v^5-25v^3+294v=150v , then v1-v2 could NOT be

(A)4
(B)7
(C) -7
(D)2
(E) -1

the equation:
v^5- 25v^3 +144v = 0
<-> v( v^4 - 25v^2 +144) = 0
<-> v [( v^4 -24v^2+144) - v^2]=0
<-> v [ (v^2-12)^2 - v^2]= 0
<-> v ( v^2-12-v) ( v^2-12+v) =0
<-> v( v-4)(v+3) ( v+4) (v-3) = 0
---> v can be 0, +-4, +-3
---> v1-v2 can't be 2

D it is.
Re: PS: v1-v2   [#permalink] 09 Jul 2006, 01:50
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