Question

determine os números reais x que fazem com que as expressões √2 +√x-1 e √7 terminam o mesmo valor numerico

Answer 1

$\sqrt{2}+\sqrt{x-1}=\sqrt7\\\\\sqrt{x-1}=\sqrt7-\sqrt2\\\\(\sqrt{x-1})^2=(\sqrt7-\sqrt2)^2\\\\x-1=7-2\sqrt{14}+2\\\\x=10-2\sqrt{14}$