What are the solutions to the polynomial equation 27x3−8=0? Please with explanation

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asked Apr 28, 2024 98.5k views

3 votes

What are the solutions to the polynomial equation 27x3−8=0? Please with explanation

Mathematics
college

Artworkjpm asked

by Artworkjpm

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Answer:

Explanation:

$27x^3 - 8 = 0\\(3x)^3 - (2)^3 = 0\\(3x - 2)(9x^2 + 6x + 4) = 0\\x = 2/3\\9x^2 + 6x + 4 = 0\\(3x)^2 + 2.3x.1 + 1^2-1^2+4 = 0\\(3x+1)^2 = -3\\$ ×××× Rejected

x = 2/3

Karren answered May 1, 2024

by Karren

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