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const2013 [10]
3 years ago
10

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

Mathematics
2 answers:
vfiekz [6]3 years ago
8 0

Answer:

x = ±2√5

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Multiple Roots

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

4x² - 5 = 75

<u>Step 2: Solve for </u><em><u>x</u></em>

  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
lisabon 2012 [21]3 years ago
5 0

Answer:

4x^{2} = 75 - 5

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

4x/4=8.366600265/4

x=2.1 rounded

Step-by-step explanation:

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