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

Which two of the following statements explain weaknesses of the Articles of Confederation?
11-M.2 MASTERY PROBLEM (Review of Chapters 9, 10, and 11), p. 340 Journalizing and posting transactions
Find the value of the test statistic z using z = . A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics i
HELP OMG EIDHDHJEJFJZJ
6 girls share 4 brownies equally. What fraction of the brownies does each friend get?
What is an equation of the line that passes through the points (6,2) and (7, 1)? (Giving brainliest )
HELP PLEASE 1) What caused teenagers and young adults to be more affected in the 1918 influenza pandemic? A) pain B) fever C) cytokine storm D) headache 2)What
find the value of X. then find the measure of angles B and C ​
the doll's house short stories​
1. One liter is equal to 1,000 milliliters. How many liters are equal to 18,045 milliliters?