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

The answer to a please
kdhdihfufngdjfhfhfjdjdyfifnfyf please help​
unit 7 polynomials and factoring homework 7 factoring trinomials answer key
Work out (5 x 10^3) (9 x 10^7) Give your answer in standard form.
Please help me ASAAAPPPP I need help rn !
PLS HELP ME NOW!! pls pls pls
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simplified. -4(x+2)-2x+4
Evaluate 3p^2 + 7 (3 times p to the second power plus 7), when p = 4
HEEEELPPP ASAP i only need help with 2,3,4 TvT
Jenks Company developed the following information about its inventories in applying the lower-of-cost-or-net-realizable-value (LCNRV) basis in valuing inventori