Question

$$x^{2}-3=2\sqrt{2}\overline{269},$$

Answer

$$x=sqrt(3+538*e^2*IM*v*r*l*n*sqrt(2*o)),-sqrt(3+538*e^2*IM*v*r*l*n*sqrt(2*o)),sqrt(3),-sqrt(3)$$

Solution


Break down the problem into these 2 equations.
\[{x}^{2}-3=2\sqrt{2o}verl\imath ne\times 269\]
\[{x}^{2}-3=\]
Solve the 1st equation: \({x}^{2}-3=2\sqrt{2o}verl\imath ne\times 269\).
\[x=\pm \sqrt{3+538{e}^{2}\imath vrln\sqrt{2o}}\]
Solve the 2nd equation: \({x}^{2}-3=\).
\[x=\pm \sqrt{3}\]
Collect all solutions.
\[x=\pm \sqrt{3+538{e}^{2}\imath vrln\sqrt{2o}},\pm \sqrt{3}\]