Question

Solve the quadratic equation below for the exact values of x. 4x² - 5 = 75

Answer 1

Answer:

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

Step-by-step 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

Answer 2

Answer:

$4x^{2} = 75 - 5$

$\sqrt{4x^{2}} = \sqrt{70}$

$4x/4=8.366600265/4$

$x=2.1 rounded$

Step-by-step explanation: