Question

Da
A
Solve the equation 2x^2+3=0

Answer 1

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Solving quadratics

Algebra II

Imaginary root i

• √-1 = i

Explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3
2. [Division Property of Equality] Divide 2 on both sides: x² = -3/2
3. [Equality Property] Square root both sides: x = ±√(-3/2)
4. Simplify: x = ±i(√6 / 2)