Question

Solve -3x=2x^2-4 using quadratic formula

Answer 1

Answer:

$x=-2.35078, 0.850781$

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

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

Step-by-step explanation:

Step 1: Define equation

-3x = 2x² - 4

Step 2: Rewrite into Standard Form

0 = 2x² + 3x - 4

Step 3: Define variables

a = 2

b = 3

c = -4

Step 4: Find x

1. Substitute:                    $x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}$
2. Evaluate:                       $x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}$
3. Multiply:                        $x=\frac{-3\pm\sqrt{9+32} }{4}$
4. Add:                              $x=\frac{-3\pm\sqrt{41} }{4}$
5. Evaluate:                      $x=\frac{-3\pm6.40312}{4}$
6. Evaluate:                      $x=-2.35078, 0.850781$

And we have our final answer!