10

Set 14: Quadratic Equations (Intermediate)

Explanation

Answer: A

Find the discriminant of 3x2−2x+1=03x^2 - 2x + 1 = 0.

A.

-8

✓ Correct
B.

8

C.

16

D.

0

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. a=3,b=−2,c=1a=3, b=-2, c=1. 2. Δ=(−2)2−4(3)(1)\Delta = (-2)^2 - 4(3)(1). 3. Δ=4−12=−8\Delta = 4 - 12 = -8. Choice B is incorrect because it adds 4+124 +12. Choice C is incorrect because it calculates (−2)2+12(-2)^2 + 12. Choice D is incorrect.

Key Steps:

•

The correct answer is -8

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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