Răspuns :
√2 x - √27 = √8 x + √75
√2x - √8x = √75 + √27
√2x - 2√2x = 5√3 + 3√3
-√2 x = 8√3
x = - 8√3 / √2 = - 8√3 * √2 / 2 = -4√6
√2x - √8x = √75 + √27
√2x - 2√2x = 5√3 + 3√3
-√2 x = 8√3
x = - 8√3 / √2 = - 8√3 * √2 / 2 = -4√6
√2x-3√3=2√2x+5√3
√2x-2√2x= 3√3+5√3
-√2x=8√3
x= - [tex] \frac{8 \sqrt{3} }{ \sqrt{2} } [/tex]
rationalizam cu √2 si obtinem
x=- [tex] \frac{8 \sqrt{6} }{2} [/tex]
simplificam cu 2 si obtinem in final x= - 4√6
√2x-2√2x= 3√3+5√3
-√2x=8√3
x= - [tex] \frac{8 \sqrt{3} }{ \sqrt{2} } [/tex]
rationalizam cu √2 si obtinem
x=- [tex] \frac{8 \sqrt{6} }{2} [/tex]
simplificam cu 2 si obtinem in final x= - 4√6