Question

Solve the quadratic equation below for the exact values of x.

4x² - 5 = 75

Answer 1

`4x^(2) = 75 - 5`

`\sqrt{4x^(2)} = √(70)`

`4x/4=8.366600265/4`

`x=2.1 rounded`

Explanation:

Answer 2

x = ±2√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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• Multiple Roots

Explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

1. [Addition Property of Equality] Add 5 on both sides: 4x² = 80
2. [Division Property of Equality] Divide 4 on both sides: x² = 20
3. [Equality Property] Square root both sides: x = ±2√5