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For a multiple-choice GRE Quant question of form 'for which value of x is f(x) = 0?', a faster strategy is often to
Aback-solve: plug each answer choice into f(x) and pick the one that gives zero
Bforward-solve: derive f'(x) and use Newton's method
Cforward-solve: rewrite f(x) = 0 as a quadratic and apply the quadratic formula
Drule out all answers without computation
Answer & Solution
Correct answer: A. back-solve: plug each answer choice into f(x) and pick the one that gives zero
GRE MCQs give you the answer choices. Plugging each into f(x) and checking which gives 0 is often faster than algebraic solving, especially when the equation is complex. Newton's method requires calculus (excluded from GRE Quant); applying the quadratic formula is fine when the form fits, but back-solving works on broader question shapes.
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