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If z in not equal to zero, and z=sqrt(6zs-9s^2) , then z

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Director
Joined: 06 Feb 2006
Posts: 880
If z in not equal to zero, and z=sqrt(6zs-9s^2) , then z  [#permalink]

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02 Oct 2006, 23:49
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If z in not equal to zero, and z=sqrt(6zs-9s^2) , then z equals:

A) s
B) 3s
C) 3s^2
D) (-3/2)s^2
E) -3s

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Senior Manager
Joined: 13 Sep 2006
Posts: 262
Location: New York

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03 Oct 2006, 12:33
Could you please post the explanation - Thanks
Director
Joined: 06 Sep 2006
Posts: 699

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03 Oct 2006, 13:08
1
Matrix02 wrote:
Could you please post the explanation - Thanks

squaring both sides

z^2 = 6zs - 9s^2
z^2 -6zs + 9s^2 = 0
z^2 -2(z)(3s) + (3s)^2 = 0

since a^2 - 2ab + b2 = (a - b)^2

So,

(z - 3s)^2 = 0
z - 3s = 0
z = 3s
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Re: If z in not equal to zero, and z=sqrt(6zs-9s^2) , then z  [#permalink]

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23 Apr 2017, 08:30
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Re: If z in not equal to zero, and z=sqrt(6zs-9s^2) , then z &nbs [#permalink] 23 Apr 2017, 08:30
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