Question

Answer 1

a) \(\dfrac{5}{3}\sqrt{4x-4}-\sqrt{16x-16}+\sqrt{x-1}=2\)

\(\Leftrightarrow\) \(\dfrac{5}{3}.2\sqrt{x-2}-4\sqrt{x-1}+\sqrt{x-1}=2\)

\(\Leftrightarrow\) \(\dfrac{10}{3}\sqrt{x-1}-4\sqrt{x-1}+\sqrt{x-1}=2\)

\(\Leftrightarrow\) \(\dfrac{1}{3}\sqrt{x-1}\) = \(2\)

\(\Leftrightarrow\) \(\sqrt{x-1}=6\)

\(\Leftrightarrow\) \(x-1=36\)

\(\Leftrightarrow\) \(x=37\)

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