Question

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

Answer 1

`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=(-b\pm√(b^2-4ac) )/(2a)`

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=(-3\pm√(3^2-4(2)(-4)) )/(2(2))`
2. Evaluate:
   `x=(-3\pm√(9-4(2)(-4)) )/(2(2))`
3. Multiply:
   `x=(-3\pm√(9+32) )/(4)`
4. Add:
   `x=(-3\pm√(41) )/(4)`
5. Evaluate:
   `x=(-3\pm6.40312)/(4)`
6. Evaluate:
   `x=-2.35078, 0.850781`

And we have our final answer!