Question

Tìm x:

\(\frac{2\sqrt{x}+1}{3\sqrt{x+5}}=\frac{5}{11}\)

Answer 1

\(\frac{2\sqrt{x}+1}{3\sqrt{x}+5}=\frac{5}{11}\)

\(11\cdot\left(2\sqrt{x}+1\right)=5\cdot\left(3\sqrt{x}+5\right)\)

\(22\sqrt{x}+11=15\sqrt{x}+25\)

\(22\sqrt{x}-15\sqrt{x}=25-11\)

\(7\sqrt{x}=14\)

\(\sqrt{x}=2\)

x = 4

Answer 2

nhầm \(\Rightarrow11\left(2\sqrt{x}+1\right)=5\left(3\sqrt{x+5}\right)\Rightarrow121\left(2\sqrt{x}+1\right)^2=25\left(\sqrt{x+5}\right)^2\)

\(\Rightarrow484x+484\sqrt{x}+121=25x+125\)

\(\Rightarrow459x+484\sqrt{x}-4=0\)

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