Is x^2 x 12 = 0? (1) x^2 + x 6 = 0 (2) x

Question

Is x^2 – x – 12 = 0?

(1) x^2 + x – 6 = 0

(2) x < 0

harshittahuja · Answer

Is x^2 – x – 12 = 0?

(1) x^2 + x – 6 = 0

(2) x < 0

Solution
if the above is true, then we have to prove it 
x^2+x-12=0
x^2+4x-3x-12=0
x(x+4)-3(x+4)=0
X=3,-4

From 1st we
we get x=-3,2
implies this will not satisfy implies we can surely say NO in this 
A is one of the option

In case 2nd
we can say that 
x<0 
but according to question it is yes or no
So Option b is incorrect.
Answer is A

gmatophobia · Answer

x^2 – x – 12 = 0

(x-4)(x+3)  = 0

x = 4 or x = -3

Statement 1

x^2 + x – 6 = 0

(x+3)(x-2) = 0

x = -3 | The answer to the question  Is  x^2 – x – 12 = 0   is Yes.

x = 2 | The answer to the question  Is  x^2 – x – 12 = 0   is No.

Eliminate A

Statement 2

x < 0

Insufficient information. For some values of x, the answer to the question  Is  x^2 – x – 12 = 0   will be yes, for some values it will be no.

Eliminate B

Combined

We will eliminate x = 2 from Statement 1.

x = -3, the answer to the question  Is  x^2 – x – 12 = 0   is Yes.

Option C

ScottTargetTestPrep · Answer

Question Stem Analysis:

We need to determine whether x^2 - x - 12 = 0. Factoring the left hand side, we obtain (x - 4)(x + 3) = 0, which means the solutions of the quadratic equation are x = 4 and x = -3. Thus, the question becomes "Is x equal to 4 or -3?".

Statement One Alone:

\Rightarrow  x^2 + x - 6 = 0

We can factor this expression as (x + 3)(x - 2) = 0, so we can conclude that x = -3 or x = 2. If x = -3, then the answer to the question "Is x equal to 4 or -3?" is yes. If x = 2, then the answer to the same question is no. Statement one alone is not sufficient.

Eliminate answer choices A and D.

Statement Two Alone:

\Rightarrow  x < 0

Using this statement, we can eliminate the possibility of x = 4; however, x can still equal -3 or some other negative number. Statement two alone is not sufficient.

Eliminate answer choice B.

Statements One and Two Together:

From statement one, we know x is either -3 or 2. From statement two, we know x < 0. Combining these two facts, it follows that x is equal to -3. This answers the question. Statements one and two together are sufficient.

Answer: C

Is x^2 x 12 = 0? (1) x^2 + x 6 = 0 (2) x < 0

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