7

Set 6: Quadratic Equations

Explanation

Answer: A

Solve: x2+2x+5<0x^2 + 2x + 5 < 0

A.

No solution

✓ Correct
B.

All real numbers

C.

x<1x < -1

D.

5<x<0-5 < x < 0

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Discriminant: 224(1)(5)=420=162^2 - 4(1)(5) = 4 - 20 = -16. 2. Since Δ<0\Delta < 0, there are no real roots. 3. Parabola opens upward (a=1a=1). 4. It is entirely above the x-axis, so it is never less than 0. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is No solution

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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