Đáp án+Giải thích các bước giải:
`P=(1/(x-sqrtx)+sqrtx/(x-1)):(xsqrtx-1)/(xsqrtx-sqrtx)(x>0,x ne 1)`
`a)P=(1/(sqrtx(sqrtx-1))+sqrtx/((sqrtx-1)(sqrtx+1)):((sqrtx-1)(x+sqrtx+1))/(sqrtx(sqrtx-1)(sqrtx+1))`
`P=((sqrtx+1+x)/(sqrtx(sqrtx-1)(sqrtx+1))):(x+sqrtx+1)/(sqrtx(sqrtx+1))`
`P=((sqrtx+1+x)/(sqrtx(sqrtx-1)(sqrtx+1)))*(sqrtx(sqrtx+1))/(x+sqrtx+1)`
`P=1/(sqrtx-1)`
Vậy kết quả rút gọn của P là `P=1/(sqrtx-1).`
`b)P=1/2`
`<=>1/(sqrtx-1)=1/2`
`<=>sqrtx-1=2`
`<=>sqrtx=3`
`<=>x=9(tmđk)`
Vậy với `x=9` thì `P=1/2.`