Set 3: Quadratic Equations (Advanced)

Explanation

Answer: A

The sum of a number and its square is 42. Find the number(s).

6 or -7

✓ Correct

7 or -6

6 only

7 only

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Equation: $x + x^2 = 42$ . 2. Standard Form: $x^2 + x - 42 = 0$ . 3. Factor: $(x + 7)(x - 6) = 0$ . 4. Solutions: $x = -7$ or $x = 6$ . Choice B is incorrect because signs are swapped. Choice C is incorrect because it misses the negative solution. Choice D is incorrect.

Key Steps:

•

The correct answer is 6 or -7

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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