Kaitoji Kaitoji
  • 17-08-2024
  • Mathematics
High School

Where should substitution be used to rewrite [tex]4x^4 - 21x^2 + 20 = 0[/tex]?

Answer :

MathPhys MathPhys
  • 18-01-2024

Answer:

u = x²

Step-by-step explanation:

4x⁴ − 21x² + 20 = 0

Substitute u = x² to turn the equation into a quadratic.

4u² − 21u + 20 = 0

You can solve by factoring.

(4u − 5) (u − 4) = 0

u = 5/4 or 4

x² = 5/4 or 4

x = ±½√5 or ±2

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