i need help with this exercise.
If $\mathbb{H}$ is a finite field and $a\neq0, b\neq0$, are elements of $\mathbb{H}$ then exists $u,v\in\mathbb{H}$ such that $1+au^{2}+bv^{2}=0 $
I don't have idea of how attack this exercise. Can someone help me?
i need help with this exercise.
If $\mathbb{H}$ is a finite field and $a\neq0, b\neq0$, are elements of $\mathbb{H}$ then exists $u,v\in\mathbb{H}$ such that $1+au^{2}+bv^{2}=0 $
I don't have idea of how attack this exercise. Can someone help me?
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