Question

6x²=(radical din 30-3radical din6)²​

Answer 1

Răspuns:

Explicație pas cu pas:

6x²=(radical din 30-3radical din6)²​ si extragi radicalul de ordinul 2:

xrad6 = +- (radical din 30-3radical din6)

x = +-(rad5 x rad6 / rad6 - 3rad6 / rad6) =

+-(rad5 - 3)

x1 = 3 - rad5

x2 = rad5 - 3.

Answer 2

 

$\displaystyle\bf\\6x^2=\Big(\sqrt{30}-3\sqrt{6}\Big)^2\\\\6x^2=\Big(\sqrt{6\cdot5}-3\sqrt{6}\Big)^2\\\\6x^2=\Bigg(\sqrt{6}\Big(\sqrt{5}-3\Big)\Bigg)^2\\\\6x^2=\Big(\sqrt{6}\Big)^2\cdot\Big(\sqrt{5}-3\Big)^2\\\\6x^2=6\Big(\sqrt{5}-3\Big)^2~~~\Big|~:6\\\\x^2=\Big(\sqrt{5}-3\Big)^2~~~\Big|~\sqrt{~~}\\\\x=\pm\Big(\sqrt{5}-3\Big)\\\\\boxed{\bf x_1=\sqrt{5}-3}\\\\\boxed{\bf x_2=3-\sqrt{5}}$