Mathematics, 18.03.2021 02:20 kenna162

Help I cannot figure this question out.

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Answer from: bri9263

B. x = -1 ± i

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 I

Standard Form: ax² + bx + c = 0FactoringQuadratic Formula: $\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

Algebra II

Imaginary Numbers: √-1 = i

Step-by-step explanation:

Step 1: Define

x² + 2x = -2

Step 2: Identify Variables

Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0Break up Quadratic: a = 1, b = 2, c = 2

Step 3: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{-2 \pm \sqrt{2^2-4(1)(2)}}{2(1)}$ [√Radical] Evaluate exponents: $\displaystyle x=\frac{-2 \pm \sqrt{4-4(1)(2)}}{2(1)}$ Multiply: $\displaystyle x=\frac{-2 \pm \sqrt{4-8}}{2}$ [√Radical] Subtract: $\displaystyle x=\frac{-2 \pm \sqrt{-4}}{2}$ [√Radical] Factor: $\displaystyle x=\frac{-2 \pm \sqrt{-1}\sqrt{4}}{2}$ [√Radicals] Simplify: $\displaystyle x=\frac{-2 \pm 2i}{2}$ Factor: $\displaystyle x=\frac{2(-1 \pm i)}{2}$ Divide: $\displaystyle x = -1 \pm i$

Answer from: Quest

step-by-step explanation:

6x9

Answer from: Quest

just needed some points but try socratic

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