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Answer:
[tex]y=\dfrac{x^2-w}{2x}[/tex]
Step-by-step explanation:
The given equation is :
w=x²-2yx
We need to find the value of y.
Subtract x² from both sides.
w-x²=x²-2yx-x²
w-x² = -2yx
Dividing both sides by -2x
[tex]\dfrac{w-x^2}{-2x}=\dfrac{-2yx}{-2x}\\\\y=\dfrac{w-x^2}{-2x}\\\\y=\dfrac{x^2-w}{2x}[/tex]
So, the value of y is equal to [tex]\dfrac{x^2-w}{2x}[/tex].