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Determine the discriminant for the quadratic equation 0=-2x^2+3. Based on the discriminant, how many real number solutions does the equation have?
Discriminant = b^2-4ac

Respuesta :

Space

Answer:

2 solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

Standard Form: ax² + bx + c = 0

Discriminant: b² - 4ac

  • Positive - 2 solutions
  • Equal to 0 - 1 solution
  • Negative - No solutions/Imaginary

Step-by-step explanation:

Step 1: Define

-2x² + 3 = 0

Step 2: Identify

a = -2

b = 0

c = 3

Step 3: Find

  1. Substitute in variables [Discriminant]:                                                             0² - 4(-2)(3)
  2. Evaluate:                                                                                                           24

Answer:

NO REAL SOLUTIONS

Step-by-step explanation:

a=2 b=0 c=3

0-4(2)(3)=0-24=-24. Since the discriminant is negative, there are NO REAL SOLUTIONS.

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