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06-03-2020
Mathematics

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Where is substitution should be used to rewrite 4x^4-21x^2+20=0

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MathPhys MathPhys

06-03-2020

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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