- #1

duki

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## Homework Statement

Let S be the set of all real numbers except -1.

Define * on S by:

a * b = a + b + ab

## Homework Equations

i) find 3 * 5

ii) find -2 * 6

iii) show that S with the operation * is a group

iv) find a solution of the quation 2 * x * 3 = 7 in S

## The Attempt at a Solution

Ok, I have no clue on these. Here is what I've attempted:

i) 28

ii) -8

iii) ?

iv) ?

Could someone give me a hand? :)