Question

Solve 5x^2-2=-12 by taking the square root

Answer 1

Answer:

x = ±i√2

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  

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

Algebra II

Imaginary root i

• i = √-1

Step-by-step explanation:

Step 1: Define

Identify

5x² - 2 = -12

Step 2: Solve for x

1. [Addition Property of Equality] Add 2 on both sides:                                    5x² = -10
2. [Division Property of Equality] Divide 5 on both sides:                                 x² = -2
3. [Equality Property] Square root both sides:                                                    x = ±√-2
4. Rewrite:                                                                                                             x = ±√-1 · √2
5. Simplify:                                                                                                             x = ±i√2