charelsforsman charelsforsman
  • 04-06-2022
  • Mathematics
contestada

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

What are the solutions of the equation x49x280 Use u substitution to solve class=

Respuesta :

culveryolanda46
culveryolanda46 culveryolanda46
  • 04-06-2022

Answer:

The answer is the second option

Step-by-step explanation:

Let u=x^2.

[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8( {x}^{2} ) {}^{0} [/tex]

[tex] {u}^{2} - 9u + 8[/tex]

[tex](u - 1)(u - 8)[/tex]

[tex]u = 1[/tex]

[tex]u = 8[/tex]

Set this equal to x^2

[tex] {x}^{2} = 1[/tex]

[tex]x = 1[/tex]

or

[tex]x = - 1[/tex]

[tex] {x}^{2} = 8[/tex]

[tex]x = 2 \sqrt{2} [/tex]

or

[tex]x = - 2 \sqrt{2} [/tex]

Answer Link

Otras preguntas

buy/be/a/will/we/car/loan/with/able/bank/a/to word order​
The density of an unknown crystal is 2.65gmL. If a 4.46 g sample of the crystal is added to a graduated cylinder containing 25.0 mL of water, what will the volu
Reread lines 1-12. In your own words, explain the central idea in these lines
What is x/4+10=16 Please answer
Why do you think that Creoles (a group that suffered far less oppression than other groups by Peninsulares) would be the group to lead the revolution against Sp
Describe the physical features and gene contents of mitochondrial and chloroplast genomes and discuss the current hypothesis concerning the origins of organelle
What are the two types of information that organization charts reveal about organizational structure?
What volume (mL) of 1.50 × 10-2 M hydrochloric acid can be neutralized with 115 mL of 0.244 M sodium hydroxide?
After a 15% discount an item costs $22.27. What was the original price?
Date Mussolini becomes leader of Italy