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

x = ±i√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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