Question

ma=a-c÷a solve for a

Answer 1

Answer:

$a=\pm \sqrt{\dfrac{c}{1-m}}$

Step-by-step explanation:

Given the equation

$ma=a-c\div a$

Rewrite it using fraction:

$ma=a-\dfrac{c}{a}$

Multiply it by a:

$ma\cdot a=a\cdot a=\dfrac{c}{a}\cdot a\\ \\ma^2=a^2-c\\ \\ma^2-a^2=-c\\ \\a^2(m-1)=-c\\ \\a^2=\dfrac{-c}{m-1}\\ \\a^2=\dfrac{c}{1-m}\\ \\a=\pm \sqrt{\dfrac{c}{1-m}}$