10

Set 4: Quadratic Equations

Explanation

Answer: A

Determine the number of real solutions for 2x2+3x+5=02x^2 + 3x + 5 = 0.

A.

0

✓ Correct
B.

1

C.

2

D.

Infinite

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Calculate the discriminant Δ=b2−4ac\Delta = b^2 - 4 ac. 1. a=2,b=3,c=5a=2, b=3, c=5. 2. Δ=32−4(2)(5)\Delta = 3^2 - 4(2)(5). 3. Δ=9−40=−31\Delta = 9 - 40 = -31. Since −31<0-31 < 0, there are 0 real solutions. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 0

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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