1
advanced-math

Calculate the discriminant of x24x+3=0x^2 - 4x + 3 = 0.

A

4

B

12

C

-4

D

28

Correct Answer: A

Choice A is the correct answer. The discriminant formula is Δ=b24ac\Delta = b^2 - 4ac.

  1. Identify coefficients: a=1a = 1, b=4b = -4, c=3c = 3.
  2. Substitute: Δ=(4)24(1)(3)\Delta = (-4)^2 - 4(1)(3).
  3. Calculate: Δ=1612=4\Delta = 16 - 12 = 4.

Choice B is incorrect because it calculates 4ac4ac only. Choice C is incorrect because it subtracts in reverse (121612-16). Choice D is incorrect because it adds (16+1216+12).