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Sagot :
I would say the answer would be D by my calculations if I'm wrong I will come back and update
Factorizing an expression involves writing the expression in simpler forms
The values of z are [tex]z = \frac 15[/tex] or [tex]z=4[/tex]
The equation is given as:
[tex]5z^2 - 21z + 4 = 0[/tex]
Expand the equation
[tex]5z^2 - 20z -z + 4 = 0[/tex]
Factorize the expression:
[tex]5z(z - 4) -1(z - 4) = 0[/tex]
Factor out z - 4
[tex](5z - 1)(z - 4) = 0[/tex]
Split
[tex]5z -1 = 0[/tex] or [tex]z - 4 = 0[/tex]
Solve for z
[tex]z = \frac 15[/tex] or [tex]z=4[/tex]
Hence, the values of z are [tex]z = \frac 15[/tex] or [tex]z=4[/tex]
Read more about factorization at:
https://brainly.com/question/11579257
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