Respuesta :
Equation gives y the subject of the formula is equals to [tex]y = \sqrt{\frac{a-x}{2b} }[/tex].
What is the subject of the formula?
" Subject of the formula is that variable which is represented in terms of other variable."
According to the question,
Given equation,
'x' as the subject of the formula
[tex]x= a- 2by^{2}[/tex]
Add (-a) both the sides of the equation we get,
[tex]-2by^{2} = x-a[/tex]
Divide by (-2b) both the sides of the equation,
[tex]y^{2} = \frac{a-x}{2b}[/tex]
Take square root both the sides of the equation we get,
[tex]y = \sqrt{\frac{a-x}{2b} }[/tex] represents 'y' the subject of the formula.
Hence, equation gives y the subject of the formula is [tex]y = \sqrt{\frac{a-x}{2b} }[/tex].
Learn more about subject of the formula here
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