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Using a System of Quadratic Equations to Solve for $x$

GMAT-TFLWVA

(1) $x=2+\cfrac{15}{x}$
(2) $x^2+y^2=2(x+6)+y^2$

Which of the statements above is sufficient to find the value of $x$?

A

Statement (1) ALONE is sufficient to answer the question, but statement (2) ALONE is not.

B

Statement (2) ALONE is sufficient to answer the question, but statement (1) ALONE is not.

C

Statement (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.

D

EITHER statement ALONE is sufficient to answer the question.

E

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked - more relevant data is required.