Question

question solve the following equation for b. you may assume all variables are positive so do not use ± or absolute values. 3g = db² - f

Explanation:

Step1: Isolate $b^{2}$ term

Add $f$ to both sides of the equation $3g = Db^{2}-f$. We get $3g + f=Db^{2}$.

Step2: Solve for $b^{2}$

Divide both sides of the equation $3g + f = Db^{2}$ by $D$ (since $D
eq0$ as all variables are positive). So, $b^{2}=\frac{3g + f}{D}$.

Step3: Solve for $b$

Take the square - root of both sides. Since all variables are positive, $b=\sqrt{\frac{3g + f}{D}}$.

Answer:

$b=\sqrt{\frac{3g + f}{D}}$