1
advanced-math

What is the sum of the roots for 2x2−8x+5=02x^2 - 8x + 5 = 0?

A

4

B

-4

C

2.5

D

8

Correct Answer: A

Choice A is the correct answer. According to Vieta's formulas, for ax2+bx+c=0ax^2 + bx + c = 0:

  1. Sum of roots = −b/a-b/a.
  2. Substitute a=2,b=−8a=2, b=-8: Sum = −(−8)/2-(-8)/2.
  3. Simplify: 8/2=48/2 = 4.

Choice B is incorrect because of sign error. Choice C is incorrect because it is the product (c/ac/a). Choice D is incorrect because it forgets to divide by aa.

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Set 12: Quadratic Equations and Functions 12