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marin [14]
2 years ago
13

What are the solutions of the equation x^4-9x^2+8=0? Use u substitution to solve.

Mathematics
1 answer:
vodka [1.7K]2 years ago
4 0

Answer:

The answer is the second option

Step-by-step explanation:

Let u=x^2.

( {x}^{2} ) {}^{2}  - 9( {x}^{2} ) + 8( {x}^{2} ) {}^{0}

{u}^{2}  - 9u + 8

(u - 1)(u - 8)

u = 1

u = 8

Set this equal to x^2

{x}^{2}  = 1

x = 1

or

x =  - 1

{x}^{2}  = 8

x = 2 \sqrt{2}

or

x =  - 2 \sqrt{2}

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