Question

Solve c=1/2 ab² for b

Answer 1

First we have to divide both sides of the equation by 1/2a:

`(c)/((1)/(2)a)=((1)/(2)a)/((1)/(2)a)b^(2)`

And we get

`(2c)/(a)=b^(2)`

finally we have to take square root on both sides:

`\sqrt[]{(2c)/(a)}=\sqrt[]{b^2}`

And we get that b is:

`b=\sqrt[]{(2c)/(a)}`