Find all solutions of this equation by factoring. x^4-20x^2+64=0

Matt Shirley asked Apr 8, 2023

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10 votes

Find all solutions of this equation by factoring.
x^4-20x^2+64=0

Matt Shirley asked Apr 8, 2023

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21 votes

$Rewrite \: x¹ \: as (x²)²$

(x²)² - 20x² + 64 = 0

$Let \: u = ² Substitute \: u \: for \: all \: occurrences \: of \: x²$

u² - 20u +64 = 0

Takash Futada answered Apr 12, 2023

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