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3 years ago

What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve.

Mathematics

2 answers:

rosijanka [135]3 years ago

6 0

Answer:

Option (2)

Step-by-step explanation:

Given equation is,

x⁴- 9x² + 8 = 0

Let x² = t

By substituting the value of x²= t in the equation,

t² - 9t + 8 = 0

t² - 8t - t + 8 = 0

t(t - 8) - 1(t - 8) = 0

(t - 1)(t - 8) = 0

(t - 1) = 0 ⇒ t = 1

(t - 8) = 0 ⇒ t = 8

Since, t = x²

x² = 1 ⇒ x = ±1

x² = 8 ⇒ x = ±2√2

Therefore, Option (2) will be the correct option.

love history [14]3 years ago

3 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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