Question

x的平方+2x-2=0，求x的三次方+3x的二次方+1的值

Answer 1

∵x²+2x-2=0
∴x²+2x=2
则x³+3x²+1
=x³+2x²+x²+1
=x(x²+2x)+x²+1
=2x+x²+1
=2+1
=3

行家正解，不明白可以追问！祝您学习进步
满意请点击下面的【选为满意回答】按钮，O(∩_∩)O谢谢

Answer 2

x^3+3x^2+1
=x(x^2+2x-2) +x^2+2x+1
=x(x^2+2x-2) +(x^2+2x-2)+3
=0+0+3
=3