9

Set 16: Quadratic Equations (Advanced)

Explanation

Answer: B

Solve: 2x2=502x^2 = 50

A.

x=25x = 25

B.

x=±5x = \pm 5

✓ Correct
C.

x=±25x = \pm 25

D.

x=5x = 5

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Before taking the square root, isolate the squared term. 1. Divide both sides by 2: x2=25x^2 = 25. 2. Take the square root of both sides: x=±25x = \pm \sqrt{25}. 3. Solve: x=±5x = \pm 5. Choice A is incorrect because it forgets to take the square root. Choice C is incorrect because it forgets to take the square root of 25. Choice D is incorrect because it misses the negative solution.

Key Steps:

The correct answer is x=±5x = \pm 5

Why others are wrong:
A: Choice A 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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