Respuesta :

minus a from both sides
x-a=-2by²
times both sides by -1
a-x=2by²
divide both sides by 2b
[tex] \frac{a-x}{2b}=y^2 [/tex]
sqrt both sides
[tex]y= \sqrt{\frac{a-x}{2b}} [/tex]

Answer:

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Okay, we need to make "y" the subject of the formula, [tex]x = a - 2byx^{2}[/tex]

1. Subtract a from both sides

x - a = -2by²

2. Multiply both sides by -1

a - x = 2by²

3. Divide both sides by 2b

[tex]\frac{a-x}{2b} =y^{2}[/tex]

4. Square both sides

[tex]y=\sqrt{\frac{a-x}{2b} }[/tex]

Finally, we end up with our answer, [tex]y=\sqrt{\frac{a-x}{2b} }[/tex]

Feel free to give brainliest.

Have a great day!