8(5-z)^2 - 14(5-z) + 3

label Mathematics
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Supposed to solve using the Substitution Method.

Sep 1st, 2015

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Thank you for the opportunity to help you with your question!

8(5-z)^2-14(5-z)+3=0.......(1)

Let 5-z=t, substitute 5-z=t in equation (1),we then have:

8t^2-14t+3=0

8t^2-12t-2t+3=0

4t(2t-3)-1(2t-3)=0

(4t-1)(2t-3)=0

Thus t=1/4 or 3/2

since z=5-t;

Therefore, z=19/4 or 7/2 

Please let me know if you need any clarification. I'm always happy to answer your questions.Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 1st, 2015

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