Question

What is the solution of the equation when solved using the quadratic formula?20%3D0" id="TexFormula1" title="x^{2} +20=0" alt="x^{2} +20=0" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$x=\pm2i\sqrt{5}$

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

Algebra I

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

Algebra II

• Imaginary Numbers: √-1  = i

Step-by-step explanation:

Step 1: Define Equation

x² + 20 = 0

Step 2: Identify Variables

a = 1

b = 0

c = 20

Step 3: Find roots x

1. Substitute:                    $x=\frac{-0\pm\sqrt{0^2-4(1)(20)} }{2(1)}$
2. Exponents:                   $x=\frac{-0\pm\sqrt{0-4(1)(20)} }{2(1)}$
3. Multiply:                        $x=\frac{-0\pm\sqrt{0-80} }{2}$
4. Subtract:                       $x=\frac{\pm\sqrt{-80} }{2}$
5. Factor:                          $x=\frac{\pm\sqrt{-1} \sqrt{80} }{2}$
6. Simplify:                        $x=\frac{\pm4i\sqrt{5} }{2}$
7. Divide:                          $x=\pm2i\sqrt{5}$