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w=x^2-2yx make y the subject of the formula

Sagot :

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].