Set 5: Quadratic Equations (Advanced)

Explanation

Answer: A

If the roots of $ax^2 + bx + c = 0$ are reciprocals of each other, then:

$a = c$

✓ Correct

$a = b$

$b = c$

$a = -c$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Let the roots be $r$ and $1 /r$ . 2. The product of roots is $r \times (1/r) = 1$ . 3. From Vieta's formulas, Product = $c/a$ . 4. So $c/a = 1$ , which implies $c = a$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $a = c$

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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