题目
2.多选题方程x^3-x^2-1=0在区间[1.3,1.6]上有一个根，由方程同解变形得到的迭代形式为（）。A. x_(k+1)=sqrt((1)/(x_(k)-1))B. x_(k+1)=1+(1)/(x_(k)^2)C. x_(k+1)=sqrt[3](1+x_{k)^2}D. x_(k+1)=sqrt(x_(k)^3-1)
2.多选题
方程$x^{3}-x^{2}-1=0$在区间[1.3,1.6]上有一个根，由方程同解变形得到的迭代形式为（）。
A. $x_{k+1}=\sqrt{\frac{1}{x_{k}-1}}$
B. $x_{k+1}=1+\frac{1}{x_{k}^{2}}$
C. $x_{k+1}=\sqrt[3]{1+x_{k}^{2}}$
D. $x_{k+1}=\sqrt{x_{k}^{3}-1}$
题目解答
答案
BC
B. $x_{k+1}=1+\frac{1}{x_{k}^{2}}$
C. $x_{k+1}=\sqrt[3]{1+x_{k}^{2}}$
B. $x_{k+1}=1+\frac{1}{x_{k}^{2}}$
C. $x_{k+1}=\sqrt[3]{1+x_{k}^{2}}$