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If a and b are constants, what is one solution of the equation (x + a)

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Bunuel
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If a and b are constants, what is one solution of the equation (x + a) [#permalink] New post   29 Mar 2016, 03:08
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If a and b are constants, what is one solution of the equation (x + a)(x – b) = 0?

(1) a = 4

(2) b = 3
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D
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Re: If a and b are constants, what is one solution of the equation (x + a) [#permalink] New post   29 Mar 2016, 04:05
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If a and b are constants, what is one solution of the equation (x + a)(x – b) = 0?

(1) a = 4

(2) b = 3

IMO it should be D.

St(1) says a=4. So if x =-4 (one solution). The said eqn is 0. Sufficient
St(2) says b=3. So if x=3 (one solution). The said eqn is 0. Sufficient.
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Re: If a and b are constants, what is one solution of the equation (x + a) [#permalink] New post   29 Mar 2016, 04:14
Bunuel wrote:
If a and b are constants, what is one solution of the equation (x + a)(x – b) = 0?

(1) a = 4

(2) b = 3


Statement 1
firstly when we know a= 4 then
(x+4)(x-b) = 0, now solution can be x+4= 0 or x-b = 0
x= -4 or x= b, b can be anything from - infinity to + infinity
but we know the one solution x=-4

statement 2
when b= 3
(x+a)(x-3)= 0, now solution can be x= 3 or x=-a, a can be anything from - infinity to + infinity
but we know the one solution is 3

so Option D
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Re: If a and b are constants, what is one solution of the equation (x + a) [#permalink] New post   08 Dec 2021, 11:29
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Bunuel wrote:
If a and b are constants, what is one solution of the equation (x + a)(x – b) = 0?

(1) a = 4

(2) b = 3

Target question: What is one solution of the equation (x + a)(x – b) = 0

Statement 1: a = 4
This means the equation is (x + 4)(x - b) = 0
So, x = -4, is one possible solution to the equation.
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The b = 3
This means the equation is (x + a)(x - 3) = 0
So, x = 3, is one possible solution to the equation.
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D
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Re: If a and b are constants, what is one solution of the equation (x + a) [#permalink]
08 Dec 2021, 11:29
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