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Set 7: Quadratic Equations (Advanced)

Explanation

Answer: C

Solve: x2=100x^2 = 100

A.

x=10x = 10

B.

x=50x = 50

C.

x=±10x = \pm 10

✓ Correct
D.

x=±50x = \pm 50

Detailed Explanation

Choice C is correct. Choice C is the correct answer. To solve x2=kx^2 = k, take the square root of both sides. Crucially, you must include both the positive and negative roots. x=±100=±10x = \pm \sqrt{100} = \pm 10. Choice A is incorrect because it misses the negative solution (10×10=100-10 \times -10 = 100 too). Choice B is incorrect because it divides by 2 instead of taking the square root. Choice D is incorrect because it divides by 2 and adds ±\pm.

Key Steps:

The correct answer is x=±10x = \pm 10

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B 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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