How do I solve for x (3x−y)2+(x−5)2=0?
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To solve for ( x ) in the equation ( (3x - y)^2 + (x - 5)^2 = 0 ), you can follow these steps:
- Expand both squared terms.
- Combine like terms.
- Solve for ( x ) by isolating it.
Expanding the squared terms, you get: ( (3x - y)^2 = (3x - y)(3x - y) = 9x^2 - 6xy + y^2 ) ( (x - 5)^2 = (x - 5)(x - 5) = x^2 - 10x + 25 )
Substituting these into the original equation: ( 9x^2 - 6xy + y^2 + x^2 - 10x + 25 = 0 )
Combining like terms: ( 10x^2 - 6xy - 10x + y^2 + 25 = 0 )
Now, isolate the terms containing ( x ): ( 10x^2 - 10x = 6xy - y^2 - 25 )
Divide both sides by 10: ( x^2 - x = \frac{6xy - y^2 - 25}{10} )
To solve for ( x ), you may need additional information about the variable ( y ) or the relationship between ( x ) and ( y ). As it stands, the equation does not allow for a direct solution for ( x ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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