Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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=

Sagot :

culveryolanda46

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]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.