Question

\(\sqrt{5x+2}-\sqrt{x+3}=0\)

Answer 1

ĐKXĐ: \(x\ge-\dfrac{2}{5}\)

\(\sqrt{5x+2}=\sqrt{x+3}\)

\(\Rightarrow5x+2=x+3\)

\(\Rightarrow4x=1\)

\(\Rightarrow x=\dfrac{1}{4}\) (thỏa mãn)

Answer 2

\(\sqrt{5x+2}-\sqrt{x+3}=0\)

<=> \(\sqrt{5x+2}=\sqrt{x+3}\)

<=> 5x + 2 = x + 3

<=> 5x - x = 3 - 2

<=> 4x = 1

<=> x = \(\dfrac{1}{4}\)

Answer 3

Ta có: \(\sqrt{5x+2}-\sqrt{x+3}=0\)

\(\Leftrightarrow5x+2=x+3\)

hay \(x=\dfrac{1}{4}\)