Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

How to factor this problem with negative exponents? -4x^-4-3x^-2+1=0
Please show all steps, thanks. tsj


Sagot :

[tex]-4x^{-4}-3x^{-2}+1=0\\ -4x^{-4}-4x^{-2}+x^{-2}+1=0\\ -4x^{-2}(x^{-2}+1)+1(x^{-2}+1)=0\\ -(4x^{-2}-1)(x^{-2}+1)=0\\ 4x^{-2}-1 =0 \vee x^{-2}+1=0\\ 4x^{-2} =1 \vee x^{-2}=-1\\ x^{-2}=\frac{1}{4} \vee \frac{1}{x^2}=-1\\ \frac{1}{x^2}=\frac{1}{4}\\ x=-2 \vee x=2 [/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.