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

x = ±i(√6 / 2)

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Solving quadratics

Algebra II

Imaginary root i

√-1 = i

Step-by-step explanation:

Step 1: Define

Identify

2x² + 3 = 0

Step 2: Solve for x

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