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# Which of the following is a solution to x + x^2 = 1

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Which of the following is a solution to x + x^2 = 1 [#permalink]  19 Mar 2018, 11:04
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Question Stats:

70% (00:43) correct 30% (00:40) wrong based on 10 sessions
Which of the following is a solution to $$x + x^2 = 1$$ ?

(A) -1

(B) 0

(C) $$\frac{1}{2}$$

(D) 1

(E) None of the above
[Reveal] Spoiler: OA

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Re: Which of the following is a solution to x + x^2 = 1 [#permalink]  02 Apr 2018, 19:32
1
KUDOS
You can wrestle with this quadratic equation if you want to, and factor it out, or even worse, use the quadratic formula, by why do so when we have answer choices? Plugging them in will take you less than 15 seconds total. Let's try:

A) -1 + 1 = 1 Not true. Out.
B) 0 + 0 = 1 Not true. Out.
C) 1/2 + 1/4 = 1 Not true. Out.
D) 1 + 1 = 1 Not true. Out.
E) Therefore, it has to be E.
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Re: Which of the following is a solution to x + x^2 = 1 [#permalink]  04 Apr 2018, 01:39
Options A-D can be easily ruled out just by looking at them. Thus E
Re: Which of the following is a solution to x + x^2 = 1   [#permalink] 04 Apr 2018, 01:39
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