Answer:
Step-by-step explanation:
We are given that G be a finite group with have two elements of order two.
We have to prove that <x,y> is either abelian or isomorphic to a dihedral group.
<x,y> means the group generated by two elements of order 2.
We know that is a cyclic group and number of elements of order 2 is always odd in number and generated by one element .So , given group is not isomorphic to
But we are given that two elements of order 2 in given group
Therefore, group G can be or dihedral group
Because the groups generated by two elements of order 2 are and dihedral group.
We know that is abelian group of order 4 and every element of is of order 2 except identity element and generated by 2 elements of order 2 and dihedral group can be also generated by two elements of order 2
Hence, <x,y> is isomorphic to or .
Answer:
4
Step-by-step explanation:
Answer:
x = -
Step-by-step explanation:
Radical roots occur in pairs, that is
x = is a root then so is x = -
Answer:
k
Step-by-step explanation:
The equation representing proportion is
y = kx ← k is the constant of proportionality