Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.


Solve the equation for all real solutions.

X^2 + 11z +9 = 5z

Someone help plz ):

Sagot :

MrRoyal

Answer:

[tex]z = -3[/tex]

Step-by-step explanation:

Given

[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation

Required

Solve

Equate to 0

[tex]z^2 +11z-5z+9 = 0[/tex]

[tex]z^2 +6z+9 = 0[/tex]

Expand

[tex]z^2 +3z+3z+9 = 0[/tex]

Factorize

[tex]z(z +3)+3(z+3) = 0[/tex]

Factor out z + 3

[tex](z +3)(z+3) = 0[/tex]

Split

[tex]z + 3 =0[/tex] --- twice

[tex]z = -3[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.