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

use the following terms in the same sentence:prokaryotic,nucleus and eukaryotic
Solve the equation without using the Distributive Property. 8(x-3)= 16 x -3 = please show an Example because Im lost... lol
Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did wrong. Jaxson's work: 8 3/5 + 7 1/8 = 15 4/13
What is answer to 3+2•5•8
The formula S=n(a1+an)/2 gives the partial sum of an artithmetic sequence what is the formula solved for an?
midpoint (12, -9), endpoint (19, 0) the other endpoint is ​
does anyone have the answers for all?
A wombat runs south in a straight line with an average velocity of 5 m/s for 4 minutes and then with an average velocity of 4 m/s for 3 minutes in the same dire
I got 6.36 rad but it’s wrong. So can someone help?
A folder is a collection of related of data is true or false​