作业帮一道离散证明可数题show that the set of all real numbers that are solu
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一道离散证明可数题
show that the set of all real numbers that are solutions of quadratic equations a^2x+bx+c=0,where a,b and c are integers,is countable.
意思是证明当a,b,c都是整数时,a^2x+bx+c=0的所有的解释可数的,
show that the set of all real numbers that are solutions of quadratic equations a^2x+bx+c=0,where a,b and c are integers,is countable.
意思是证明当a,b,c都是整数时,a^2x+bx+c=0的所有的解释可数的,
a,b,c固定时解有限（1或2,重根算1个）
a,b,c是可数的有限次方,可数,
按这个顺序排列可数个方程,其中的解未出现过的数依序列出即可（其实推广到有理数系数有限次多项式出来的代数数都是可数的）
a,b,c是可数的有限次方,可数,
按这个顺序排列可数个方程,其中的解未出现过的数依序列出即可（其实推广到有理数系数有限次多项式出来的代数数都是可数的）
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