Set 7: Quadratic Equations

Explanation

Answer: A

Which system has no solution?

$y = x^2$ and $y = -5$

✓ Correct

$y = x^2$ and $y = 5$

$y = x^2$ and $y = x$

$y = x^2$ and $y = 2x - 1$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. * A: $x^2 = -5$ . Impossible. (No solution). * B: $x^2 = 5$ . Two solutions. * C: $x^2 = x$ . Two solutions ( $0, 1$ ). * D: $x^2 = 2 x - 1$ . One solution ( $1$ ). Choice B is incorrect because it has 2 solutions. Choice C is incorrect because it has 2 solutions ( $0, 1$ ). Choice D is incorrect because it has 1 solution.

Key Steps:

•

The correct answer is $y = x^2$ and $y = -5$

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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