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stolyar
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 10 Jun 2003, 00:07
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Find a nonzero integer Q

(1) Q is a prime root of Q^Q=Q^3
(2) Q^2=3^2



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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 12 Jun 2003, 00:28
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(1) Q=1, -1, and 3; of which only 3 is prime. Thus, OK
(2) Q= 3 and -3, not enough

Thus, A.
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 21 Feb 2008, 12:37
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In stolyar's answer. isn't -3 inadmissible in (ii). Resultantly, only 3 is the prime root in (ii).
so shouldn't the answer be D?
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 21 Feb 2008, 18:02
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kanyshkae
In stolyar's answer. isn't -3 inadmissible in (ii). Resultantly, only 3 is the prime root in (ii).
so shouldn't the answer be D?
Show more

Keep in mind that -3 also an integer, negative though.

A is my pick

Q^Q=Q^3
Q^2(Q-1)=0
Q = 0 or 1
Since it's given that Q not= 0, Q=1
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 22 Feb 2008, 00:44
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Answer: A

Even roots can have +/- numbers and second condition is not sufficient
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 22 Feb 2008, 20:33
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stolyar
(1) Q=1, -1, and 3; of which only 3 is prime. Thus, OK
(2) Q= 3 and -3, not enough

Thus, A.
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how come 3 is a root of the equation Q^2=Q^3 ??
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 22 Feb 2008, 21:02
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stolyar
Find a nonzero integer Q

(1) Q is a prime root of Q^Q=Q^3
(2) Q^2=3^2
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I am not able to interpret the statement. "Q is a prime root of Q^Q = Q^3." What does it exactly mean ?
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vshaunak@gmail.com
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 23 Feb 2008, 06:40
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stolyar
(1) Q=1, -1, and 3; of which only 3 is prime. Thus, OK
(2) Q= 3 and -3, not enough

Thus, A.
how come 3 is a root of the equation Q^2=Q^3 ??
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The red text should be Q^Q = Q^3
Obviously, 3 is one of the roots of above equation.
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vshaunak@gmail.com
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 23 Feb 2008, 06:45
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sreehari
kanyshkae
In stolyar's answer. isn't -3 inadmissible in (ii). Resultantly, only 3 is the prime root in (ii).
so shouldn't the answer be D?

Keep in mind that -3 also an integer, negative though.

A is my pick

Q^Q=Q^3
Q^2(Q-1)=0Q = 0 or 1
Since it's given that Q not= 0, Q=1
Show more

The equation in large text is wrong.
It should be Q^Q - Q^3 = 0
-1, 1 and 3 are the roots of the equation but only 3 is prime.
Stoylar's solution is perfect.
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Find a nonzero integer Q (1) Q is a prime root of Q^Q=Q^3 23 Feb 2008, 09:03
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vshaunak@gmail.com
sreehari
kanyshkae
In stolyar's answer. isn't -3 inadmissible in (ii). Resultantly, only 3 is the prime root in (ii).
so shouldn't the answer be D?

Keep in mind that -3 also an integer, negative though.

A is my pick

Q^Q=Q^3
Q^2(Q-1)=0Q = 0 or 1
Since it's given that Q not= 0, Q=1

The equation in large text is wrong.
It should be Q^Q - Q^3 = 0
-1, 1 and 3 are the roots of the equation but only 3 is prime.
Stoylar's solution is perfect.
Show more

yup. got it now!



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
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