3
advanced-math

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

A

0

B

1

C

2

D

Infinite

Correct Answer: A

Choice A is the correct answer. Calculate the discriminant Δ=b2−4ac\Delta = b^2 - 4ac.

  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.

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Set 11: Quadratic Equations and Functions 11