Sat 数学题n(t)=t^2/2-20t+kThere was a 100-day period when the n

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Sat 数学题
n(t)=t^2/2-20t+k
There was a 100-day period when the number of bees in a certain hive could be modeled by the function n above. In the fuvtion, k is a constant and n(t) represents the number of bees in day number t for 0≤ t ≤99. On what number day was the number of bees in the hive the same as it was on day number 10?
求过程.拜托了~~~

一百天中蜂巢中蜜蜂的数量可以用上面的代数式表示.k是常量,t表示的是天数,所以取值范围在0~99.要求在那一天蜜蜂的数量与第十天相同.
这个就是二元一次方程的解法么.
我是这样想的
先对方程变形
n(t)=1/2t(t-40)+k 把1/2t提出来,k不用理
然后作图,一个口朝上的抛物线在0和40的地方y轴也是0,最低点在20,
在用定理证明,10处与30处y值（n值）相同.

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