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tensa zangetsu [6.8K]
3 years ago
8

NEEED HELP THANK YOU

Mathematics
1 answer:
Misha Larkins [42]3 years ago
6 0

Answer:

<h2>z = -1</h2>

Step-by-step explanation:

Given the equation;

\frac{1}{z+1} +\frac{5}{z+5} = \frac{4}{z^2+6z+5}\\\

Find the LCM

\frac{1(z+5)+5(z+1)}{z^2+6x+5} = \frac{4}{z^2+6z+5}\\\\1(z+5)+5(z+1) = 4\\Expand\\z+5+5z+5 = 4\\6z+10 = 4\\6z = 4 -10\\6z = -6\\z = -6/6\\z = -1\\

Hence the value of z that satisfies the equation is -1

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