Question

√2x+4 = √5x-4. solve the following equation​

Answer 1

Answer:   $x=\frac{8}{3} (\sqrt{5} +\sqrt{2} )$

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Step-by-step explanation:

$\sqrt{2}x + 4 = \sqrt{5}x-4\\\\ (\sqrt{5}-\sqrt{2})x=8\\\\x=\frac{8}{\sqrt{5}-\sqrt{2}} \\\\x=\frac{8(\sqrt{5}+\sqrt{2} ) }{5-2} \\\\x=\frac{8}{3} (\sqrt{5} +\sqrt{2} )$