英国高中数学题(a+3x)^5 the coefficient of the term in x^2 is eight

来源：学生作业帮编辑：作业帮分类：英语作业时间：2024/05/28 04:45:04

英国高中数学题
(a+3x)^5 the coefficient of the term in x^2 is eight times the coeffient of the term in X find the value of the constant a
怎么做谢谢。请写出过程答案是0.75 但是我不知道怎么做的

题目的中文意思是：
(a+3x)^5的x^2项系数是x项系数的8倍,求常数a的值
由二项式定理,x^2项的系数为C(5,2)*a^3*(3)^2,x项系数为C(5,1)*a^4*(3),由倍数关系列等式可得a=0.75

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