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A number a is squared and then multiplied by negative 3. The

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macjas
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A number a is squared and then multiplied by negative 3. The [#permalink] New post   27 May 2012, 09:22
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A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?

A. -3
B. -2
C. 1
D. 2
E. 3
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Re: A number a is squared and then multiplied by negative 3. The [#permalink] New post   27 May 2012, 10:57
-3*a^2=3(3a+2)
a= -2 or -1
a=-2=B
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Re: A number a is squared and then multiplied by negative 3. The [#permalink] New post   28 May 2012, 01:22
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macjas wrote:
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?

A. -3
B. -2
C. 1
D. 2
E. 3


A number a is squared and then multiplied by negative 3 --> \(a^2*(-3)\);
The result of this operation is equal to three times the sum of three times a and two --> \(3(3a+2)\);

So, we have that \(a^2*(-3)=3(3a+2)\) --> \(a^2+3a+2=0\) --> \(a=-2\) or \(a=-1\).

Answer: B.
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Re: A number a is squared and then multiplied by negative 3. The [#permalink] New post   08 Sep 2019, 11:09
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macjas wrote:
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?

A. -3
B. -2
C. 1
D. 2
E. 3


We can create the equation:

(a^2) x (-3) = 3(3a + 2)

-a^2 = 3a + 2

-a^2 - 3a - 2 = 0

a^2 + 3a + 2 = 0

(a + 2)(a + 1) = 0

a = -2 or a = -1

Answer: B
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Re: A number a is squared and then multiplied by negative 3. The [#permalink]
08 Sep 2019, 11:09
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