Solve the System of Equations (x-5)^2+(y-3)^2=90 x+y=2

Solve the System of Equations (x-5)^2+(y-3)^2=90 x+y=2
Subtract from both sides of the equation.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the left side.
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Simplify .
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Simplify each term.
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Subtract from .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
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Move .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply by .
Subtract from .
Simplify by adding terms.
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Combine the opposite terms in .
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Subtract from .
Add and .
Add and .
Add and .
Solve for in .
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Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Divide by .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
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Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Replace all occurrences of with in each equation.
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Replace all occurrences of in with .
Simplify the right side.
Tap for more steps...
Simplify .
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Multiply by .
Subtract from .
Replace all occurrences of with in each equation.
Tap for more steps...
Replace all occurrences of in with .
Simplify the right side.
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Simplify .
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Multiply by .
Add and .
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
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Name

Name seventy-six million three hundred ninety-six thousand thirty-eight

Interesting facts

  • 76396038 has 16 divisors, whose sum is 156519216
  • The reverse of 76396038 is 83069367
  • Previous prime number is 41

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 42
  • Digital Root 6

Name

Name nine hundred sixty-two million five hundred forty-seven thousand eight hundred thirty-five

Interesting facts

  • 962547835 has 4 divisors, whose sum is 1155057408
  • The reverse of 962547835 is 538745269
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4

Name

Name three hundred twenty-seven million five hundred thirty-seven thousand one hundred twenty-seven

Interesting facts

  • 327537127 has 4 divisors, whose sum is 328047160
  • The reverse of 327537127 is 721735723
  • Previous prime number is 643

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1