At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Given:
The inequality is given as,
[tex]-6>x^2+4x[/tex]The objective is to solve the inequality algebraically.
Explanation:
By adding +4 on both sides of the equation,
[tex]4-6>x^2+4x+4[/tex]Now, by rearranging the above equation,
[tex]-2>x^2+2(2)x+2^2[/tex]Using algebraic identity,
[tex]-2>(x+2)^2\text{ . . . . . (1)}[/tex]If n is even in a term aⁿ, then the value of the term must be greater than zero.
By consider the equation (1), the degree is 2 in the term (x+2)², then the term must be greater than zero. But the inequality represents that the value is lesser than -2.
Hence, the given inequality has no solution.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.
