Answer:
[tex]a=\pm \sqrt{\dfrac{c}{1-m}}[/tex]
Step-by-step explanation:
Given the equation
[tex]ma=a-c\div a[/tex]
Rewrite it using fraction:
[tex]ma=a-\dfrac{c}{a}[/tex]
Multiply it by a:
[tex]ma\cdot a=a\cdot a=\dfrac{c}{a}\cdot a\\ \\ma^2=a^2-c\\ \\ma^2-a^2=-c\\ \\a^2(m-1)=-c\\ \\a^2=\dfrac{-c}{m-1}\\ \\a^2=\dfrac{c}{1-m}\\ \\a=\pm \sqrt{\dfrac{c}{1-m}}[/tex]
