Question

$daca \: x = \sqrt{2} + 1 \: este \: solutie \: a \: ecuatiei \: mx - 5 = 5 \sqrt{2 \: atunci \: m \: = }$


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Answer 1

$\it mx-5=5\sqrt2 \Rightarrow mx=5\sqrt2+5 \Rightarrow m=\dfrac{5(\sqrt2+1)}{x}\ \ \ \ \ \ (1)\\ \\ x=\sqrt2+1\ \ \ \ \ \ (2)\\ \\ (1),\ (2) \Rightarrow m=\dfrac{5(\sqrt2+1)}{\sqrt2+1} \Rightarrow m=5$