Question

3s squared + 2 = -62

Answer 1

`3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-(64)/(3) < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-(64)/(3)\to s=\pm\sqrt{-(64)/(3)}=\pm\sqrt{(64)/(3)}\cdot√(-1)=\pm(√(64))/(\sqrt3)\cdot i=\pm(8)/(\sqrt3)i\\\\=\pm(8\cdot\sqrt3)/(\sqrt3\cdot\sqrt3)i=\pm(8\sqrt3)/(3)i`