Question

Make y the subject of the formula $x=a-2by^{2}$

Answer 1

Heyo!

RummySokka is here to help!!

Let's do this step-by-step explanation!

: Let's solve for the y.

$x=a-2by^2$

Step 1: Flip the equation.

$-2by^2+a=x$

Step 2: Add a- to your both sides.

$-2by^2+a+a-a=x+-a$

$-2by^2=-a+x$

Step 3: Divide both sides by -2b.

$\frac{-2by^2}{-2b} =\frac{a+x}{-2b}$

$y^2=\frac{a-x}{2b}$

Step 4: Take square root.

$y=\sqrt{\frac{a-x}{2b} }$ $or$ $y-\sqrt{\frac{a-x}{2b} }$

Answer:

$y=\sqrt{\frac{a-x}{2b} }$ $or$ $y-\sqrt{\frac{a-x}{2b} }$

Hopefully, this helps you!!

RummySokka~