Marcoooo1567
Answered

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Solve the equation by factoring.

5z2 − 21z + 4 = 0

A.) z = 1 or z = 4

B.) z = or z = –4

C.) z = 1 or z = –4

D.) z = or z = 4


Use format,

Answer:

Explanation:

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ayoobaby200

I would say the answer would be D by my calculations if I'm wrong I will come back and update

MrRoyal

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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