Solve the following equation by factoring z^2=8 z

Falak Kinney 2021-02-11 Answered
Solve the following equation by factoring
z2=8z
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Expert Answer

likvau
Answered 2021-02-12 Author has 75 answers
Concept:
Factorization is the process of breaking a polynomial into product of its factors.
For example: if a quadratic equation ax2+bx+c=0 has roots p and q then in factor form it can be written as (x-p)(x-q)=0
Solution:
z2=8z
subtract 8z from both sides:
z28z=8z8z
z28z=0
tale out z as it is common to both:
z(z-8)=0
now, the above expression shows that we have broken the given expression in to it's factors, z=0 or (z-8)=0
z=0 or z=8
Final answer:
therefore, by factorization the solution of the equation z2=8z is:
z=0 or z =8
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