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

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ZvpunryFnintr99

Mathematics

Description

Supposed to solve using the Substitution Method.

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Explanation & Answer

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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 

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