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Which value(s) of \(x\) satisfies the equation above?

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by Vincen » Fri Dec 10, 2021 4:31 am
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\(2x-2=\sqrt{3x^2+13}\)

Which value(s) of \(x\) satisfies the equation above?

I. \(-1\)
II. \(4\)
III. \(9\)

(A) I
(B) III
(C) I & II
(D) I & III
(E) I, II, & III

Answer: B

Source: Magoosh
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Re: Which value(s) of \(x\) satisfies the equation above?

by regor60 » Fri Dec 10, 2021 5:06 am
Since I appears in all the answer choices but B, potentially eliminating this would immediately identify the answer:
Plugging in -1 into the right side:

(3*(-1^2)+13)^(1/2) = (3+13)^(1/2)=
16^(1/2) = 4

Does this result equal the left side?

2*-1 -2 = -4 > NO

AnswerB
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