`x-9\sqrtx +14=0(x>=0)`
`<=> x-2\sqrtx -7\sqrtx +14=0`
`<=>\sqrtx(\sqrtx-2)-7(\sqrtx-2)=0`
`<=>(\sqrtx-2)(\sqrtx-7)=0`
`<=>`\(\left[ \begin{array}{l}\sqrt{x}-2=0\\\sqrt{x}-7=0\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=4(tm)\\x=49(tm)\end{array} \right.\)
Vậy `x=4;x=49.`