Question

PLEASE ANSWER THIS QUESTION QUICKLY!

Solve by factoring:


2(m-1)^2-11(m-1)+5=0


Give either of the two solutions.


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Answer 1

2(m-1)^2-11(m-1)+5=0
2((m-1)(m-1))-11m+11+5=0
solve (m-1)(m-1) first then multiply the answer by 2
2(m^2-2m+1)-11m+16=0
2m^2-4m+2-11m+16
2m^2-15m+18
make factors
2m^2-3m-12m+18
m(2m-3)-6(2m-3)
(m-6)(2m-3)
there will be two answers
solve (m-6) first
m-6=0
m=6

Now (2m-3)
2m-3=0
2m=3
m=3/2

There will be two answers to this equation 6 and 3/2