Thread: algebraic properties of L(S)

The equation x^2-I=0 has infinitely many solutions on L(R).

Prove.

Originally Posted by bookie88

The equation x^2-I=0 has infinitely many solutions on L(R).

Prove.

What is ? What do you mean by ? The first thing that comes to mind is and an operator . Am I right? Please give all the relevant definitions.

i figured it out. L(R) is linear equations of all real numbers.

so it would look like (a,b)^2-(1,0)=0
(a^2-1,ab+b)=0 and just solve from there.