2

Set 1: Quadratic Equations

Explanation

Answer: A

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

A.

4

✓ Correct
B.

-4

C.

2.5

D.

8

Detailed Explanation

Choice A is correct. 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.

Key Steps:

•

The correct answer is 4

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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