Question

Jika [tex]\displaystyle x-\frac{4}{\sqrt{x}}=17[/tex] berapa nilai dari [tex]\displaystyle x-4\sqrt{x}[/tex] ?

Answer 1

Verified answer

Penjelasan dengan langkah-langkah:

Manipulasi Aljabar

[tex]\sf \: x - \frac{4}{ \sqrt{x} } = 17[/tex]

[tex]\sf \: x - 4 \sqrt{x} = \cdots[/tex]

[tex]\begin{aligned}\sf x-\frac{4}{\sqrt{x}}&=\sf 17\\\sf x-\frac{4}{\sqrt{x}}&=\sf16+1 \\\sf \: x - 16& =\sf 1 + \frac{4}{ \sqrt{x} } \\\sf\cancel{( \sqrt{x} +4 )}( \sqrt{x} - 4 )& = \sf \frac{ \cancel{\sqrt{x} + 4 {}}^{ \: \: \: 1} }{ \sqrt{x} } \\ \sf \: \sqrt{x} - 4& = \sf \frac{1}{ \sqrt{x} } \\\sf \sqrt{x}( \sqrt{x} - 4) & = \sf 1 \\\sf \: x - 4 \sqrt{x} & = \boxed{\sf 1 }\end{aligned}[/tex]