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3 years ago

If x^(2) - 2 = 2^(2/3) + 2(-2/3) prove that x = 2^(1/3)+2^(-1/3)

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Step-by-step explanation:

x² - 2 = 2^(2/3) + 2^(-2/3)

x² = 2^(2/3) + 2 + 2^(-2/3)

x² = (2^(1/3))² + 2 × 2^(1/3) × 2^(-1/3) +

(2^(-1/3))² (It is in the form of a²+2ab+b²)

x² = (2^(1/3) + 2^(-1/3))²

x = 2^(1/3) + 2^(-1/3)

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<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

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In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

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Then:

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You can learn more about the critical point concept at brainly.com/question/2256078

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