[tex]\displaystyle\bf\\m^{2} x^{2} -4+9mx=0\\\\x=2\\\\m^{2} \cdot 2^{2} -4+9m\cdot 2=0\\\\4m^{2} +18m-4=0 \ |:2\\\\2m^{2} +9m-2=0\\\\D=9^{2} -4\cdot 2\cdot (-2)=81+16=97\\\\\\m_{1} =\frac{-9-\sqrt{97} }{4} \\\\\\m_{2} =\frac{-9+\sqrt{97} }{4}[/tex]
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[tex]\displaystyle\bf\\m^{2} x^{2} -4+9mx=0\\\\x=2\\\\m^{2} \cdot 2^{2} -4+9m\cdot 2=0\\\\4m^{2} +18m-4=0 \ |:2\\\\2m^{2} +9m-2=0\\\\D=9^{2} -4\cdot 2\cdot (-2)=81+16=97\\\\\\m_{1} =\frac{-9-\sqrt{97} }{4} \\\\\\m_{2} =\frac{-9+\sqrt{97} }{4}[/tex]