Solve b^{2}=3,a^2+c^2+ac=4,b^2+c^2-sqrt{3}ab=7

$$b ^ { 2 } = 3 , a ^ { 2 } + c ^ { 2 } + a c = 4 , b ^ { 2 } + c ^ { 2 } - \sqrt { 3 } a b = 7$$

Solve for b, a, c

$$b=-\sqrt{3}\approx -1.732050808\text{, }a=0\text{, }c=-2$$

$$b=-\sqrt{3}\approx -1.732050808\text{, }a=0\text{, }c=2$$

$$b=\sqrt{3}\approx 1.732050808\text{, }a=0\text{, }c=-2$$

$$b=\sqrt{3}\approx 1.732050808\text{, }a=0\text{, }c=2$$