Question

Answer 1

`a)` Với `x > 0,x \ne 1,x \ne 4` có:

`P=[\sqrt{x}-\sqrt{x}+1]/[\sqrt{x}(\sqrt{x}-1)]:[(\sqrt{x}+1)(\sqrt{x}-1)-(\sqrt{x}+2)(\sqrt{x}-2)]/[(\sqrt{x}-2)(\sqrt{x}-1)]`

`P=1/[\sqrt{x}(\sqrt{x}-1)].[(\sqrt{x}-1)(\sqrt{x}-2)]/[x-1-x+4]`

`P=[\sqrt{x}-2]/[3\sqrt{x}]`

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`b)` Với đk câu `a` có:

`P=1/4<=>[\sqrt{x}-2]/[3\sqrt{x}]=1/4`

         `<=>4\sqrt{x}-8=3\sqrt{x}`

         `<=>\sqrt{x}=8`

         `<=>x=64` (t/m)