x, a, b, c, and d are rational numbers satisfying 1x + 2 + 3x + 6 = a + 2b + 3c + 6d. What is t

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[GMAT math practice question]

x, a, b, c, and d are rational numbers satisfying \(\frac{1}{x+\sqrt{2}+\sqrt{3}x+\sqrt{6}}=a+\sqrt{2}b+\sqrt{3}c+\sqrt{6}d\) . What is the expression of a in terms of x?

A. 0
B. -x/2
C. x/2
D. -x/2(x^2 - 2)
E. x/2(x^2 - 2)
Source: — Problem Solving |