◆正确的题应该是:
已知实数x,y满足|x-√y|+√(x³-27)=0.求(y-5)^x的值.
∵|x-√y|+√(x³-27)=0;
|x-√y|≥0;√(x³-27)≥0.
∴x-√y=0;且x³-27=0.
解得:x=3,y=9.
故:(y-5)^x=(9-5)³=4³=64.
◆正确的题应该是:
已知实数x,y满足|x-√y|+√(x³-27)=0.求(y-5)^x的值.
∵|x-√y|+√(x³-27)=0;
|x-√y|≥0;√(x³-27)≥0.
∴x-√y=0;且x³-27=0.
解得:x=3,y=9.
故:(y-5)^x=(9-5)³=4³=64.