Question

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

Answer 1

NO REAL SOLUTIONS

Explanation:

a=2 b=0 c=3

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

Answer 2

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

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