princessalo
princessalo
21-04-2015
Mathematics
Answered
help me please
2z²-6z+4=0
Answer :
belcatya
belcatya
21-04-2015
if you noted 2-6+4=0 ⇒z₁=1 ⇒ one of factor is (z-1)
so 2z²-2z-4z+4=0
(2z²-2z)-(4z-4)=0
2z(z-1)-4(z-1)=0
(z-1)(2z-4)=0
2z-4=0
2z=4
z₂=2
Answer: z₁=1, z₂=2
Answer Link
logo88
logo88
21-04-2015
2z²-6z+4=0
Divide by 2 to everything
z²-3z+2=0
Think of two numbers that multiply to get 2 and add to get -3 in order to factorise
These numbers are -2 and -1
(z-2)(z-1)=0
Therefore z= 2 and z= 1
Answer Link
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