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Math Expert V
Joined: 02 Sep 2009
Posts: 58396
If a and b are constants, what is one solution of the equation (x + a)  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 61% (00:49) correct 39% (01:13) wrong based on 194 sessions

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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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Manager  Joined: 18 Sep 2014
Posts: 223
Re: If a and b are constants, what is one solution of the equation (x + a)  [#permalink]

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1
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]

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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

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]

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_________________ Re: If a and b are constants, what is one solution of the equation (x + a)   [#permalink] 23 Oct 2018, 06:50
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