Answer:
[tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Step-by-step explanation:
We have the following expression: [tex]4m^{2}n = 49[/tex] and we need to solve it for 'm'. Above the steps:
[tex]4m^{2}n = 49[/tex] ⇒ [tex]m^{2} = \frac{49}{4n}[/tex]
Taking the square rooth of both sides:
[tex]m = \sqrt{\frac{49}{4n}}[/tex] ⇒ [tex]m = \frac{7}{2\sqrt{n}}[/tex]
⇒ [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
Then, the result is: [tex]m =[/tex]±[tex]\frac{7\sqrt{n}}{2n}[/tex]
