How do I solve for x (3x−y)2+(x−5)2=0?

Answer 1

#x = (y+5)/4#

Here we have a single equation with two unknowns. Hence, it cannot be "solved". #x# can however be expressed in terms of #y#.
Expression #= (3x-y)2 + (x-5)2 =0#
#= 6x-2y + 2x -10=0#
#= 8x-2y - 10 =0#
#:. 8x = 10+2y#
#x = (2y+10)/8 = (y+5)/4#
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Answer 2

#x=(y+5)/4#

Given #color(white)("XXX")(3x-y)2+(x-5)2=0#
After dividing everything on both sides by #2# #color(white)("XXX")(3x-y)+(x-5)=0#
Then combining like terms: #color(white)("XXX")4x-y-5=0#
Adding #(y+5)# to both sides #color(white)("XXX")4x=y+5#
Finally, dividng both sides by #4# #color(white)("XXX")x=(y+5)/4#
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Answer 3

To solve for ( x ) in the equation ( (3x - y)^2 + (x - 5)^2 = 0 ), you can follow these steps:

  1. Expand both squared terms.
  2. Combine like terms.
  3. 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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Answer from HIX Tutor

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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