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Annaleese2004go
Answered

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50x^4 - 20x^2 + 1 = 0

1. Write the equation in quadratic form
2. Identify the U
3. Write in U-Substitution form
4. Which factoring method would you use to solve?

Answer :

Mhanifago

Answer:

  • 50x⁴ - 20x² + 1 = 0

1. Quadratic form

  • 50(x²)² - 20x² + 1 = 0

2. U is

  • x² = u

3. U- substitution

  • 50u² - 20u + 1 = 0

4. Find the discriminant and identify roots

  • d = (-20)² - 4*1*50 = 200
  • u = (20 ± √200)/100
  • u = (2 ± √2)/10

Solve for x

  • x² = (2 ± √2)/10
  • x = ± √((2 ± √2)/10), four roots

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