Marcoooo1567
Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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:

_______________________

Contact me on Discord if you would like a chance to gain points for answering my questions fast!

Sagot :

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

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.