Question

Exercițiul 12,imi trebuie urgent!!

Answer 1

12* a) $\sqrt{6} x^{2} = \sqrt{54} /: \sqrt{6} \\ x^{2} = 3 \\ x= \sqrt{3}$


b) $6( x^{2} + \sqrt{3})= \sqrt{108} \\ 6 x^{2} +6 \sqrt{3}= \sqrt{108}/-6 \sqrt{3} \\ 6 x^{2} = 0/:6 \\ x^{2} =0=\ \textgreater \ x=0$


c) $(x+ \sqrt{3})(x- \sqrt{3})= 24 \\ \\ x^{2} -x \sqrt{3} +x\sqrt{3} -3=24 \\ \\ x^{2} -3=24/+3 \\ \\ x^{2} =27=\ \textgreater \ x=3 \sqrt{3}$


d) $\frac{x^{2}} {\sqrt{11}-\sqrt{7}} =\sqrt{11}+\sqrt{7}/*\sqrt{11}-\sqrt{7} \\ \\ x^{2}=11-\sqrt{77}+\sqrt{77}-7 \\ \\ x^2=4=\ \textgreater \ x=2$


e) $(x- \sqrt{6})^{2}=24 \\ \\ x- \sqrt{6}=2\sqrt{6}/+\sqrt{6} \\ \\ x=3\sqrt{6}$