Question

Rút gọn biểu thức A=  \(\dfrac{-7\sqrt{x}+6}{x-4}+\dfrac{\sqrt{x}}{\sqrt{x}-2}\)

Answer 1

`A=(-7sqrtx+6)/(x-4)+sqrtx/(sqrtx-2)`

`=(-7sqrtx+6)/(x-4)+(x+2sqrtx)/(x-4)`

`=(x+2sqrtx-7sqrtx+6)/(x-4)`

`=(x-5sqrtx+6)/(x-4)`

`=((sqrtx-2)(sqrtx-3))/((sqrtx-2)(sqrtx+2))`

`=(sqrtx-3)/(sqrtx+2)`