MathRevolution wrote:
[
Math Revolution GMAT math practice question]
What is the solution of the equation \(\frac{(x-1)}{(1-x)} = 0?\)
\(A. -1\)
\(B. 0\)
\(C. 1\)
\(D. 0\) or \(1\)
E. The equation has no solution.
Important conceptual question. Congrats, Max!
BEFORE any manipulation/calculation is done, the "mathematical entity" (in this case, the fraction) must EXIST.
Hence we must impose the denominator different from zero, i.e.,
x different from 1.
We know that any fraction given (if it exists) is zero if, and only if, its numerator is zero.
Only x=1 satisfies that (x-1 = 0 implies x=1).
From the fact that
x=1 is not allowed, the equation given has no solutions!
This solution follows the notations and rationale taught in the GMATH method.
Regards,
Fabio.
_________________
Fabio Skilnik ::
GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here:
https://gmath.net