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advanced-math

Identify the coefficients a,b,ca, b, c for the quadratic equation 2x25x+3=02x^2 - 5x + 3 = 0.

A

a=2,b=5,c=3a=2, b=5, c=3

B

a=2,b=5,c=3a=2, b=-5, c=3

C

a=2,b=5,c=3a=2, b=-5, c=-3

D

a=2x2,b=5x,c=3a=2x^2, b=-5x, c=3

Correct Answer: B

Choice B is the correct answer. The standard form of a quadratic equation is ax2+bx+c=0ax^2 + bx + c = 0. By comparing this to 2x25x+3=02x^2 - 5x + 3 = 0:

  • aa is the coefficient of x2x^2, so a=2a = 2.
  • bb is the coefficient of xx, so b=5b = -5 (include the negative sign).
  • cc is the constant term, so c=3c = 3.

Choice A is incorrect because it ignores the negative sign of bb. Choice C is incorrect because it changes the sign of cc. Choice D is incorrect because coefficients are numbers, not the terms themselves (e.g., 22, not 2x22x^2).