Set 5: Quadratic Equations

Explanation

Answer: B

Solve: $2x^2 = 50$

$x = 25$

$x = \pm 5$

✓ Correct

$x = \pm 25$

$x = 5$

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: $x^2 = 25$ . 2. Take the square root of both sides: $x = \pm \sqrt{25}$ . 3. Solve: $x = \pm 5$ . 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 $x = \pm 5$

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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