Question

NEEED HELP THANK YOU

Answer 1

z = -1

Explanation:

Given the equation;

`(1)/(z+1) +(5)/(z+5) = (4)/(z^2+6z+5)\\`\

Find the LCM

`(1(z+5)+5(z+1))/(z^2+6x+5) = (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