Kaizerbreeidn
Answered

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what solution of general form of (x-4)² + (y-+5)² = 25​

Sagot :

KAntoineDoixidn

✒️CIRCLE EQUATION

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[tex] \large\underline{\mathbb{PROBLEM}:} [/tex]

  • what solution of general form of (x-4)² + (y+5)² = 25

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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]

[tex] \qquad \large\: \rm{x^2 + y^2 - 8x + 10y + 16 = 0} [/tex]

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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]

» The general form of the equation of the circle is written as:

  • [tex] x^2 + y^2 + Ax + By + C = 0 [/tex]

» Rearrange the given equation.

  • [tex] (x-4)^2 + (y+5)^2 = 25 [/tex]

  • [tex] \small x^2 - 8x + 16 + y^2 + 10y + 25 = 25 [/tex]

  • [tex] \small x^2 + y^2 - 8x + 10y + 16 + 25 - 25 = 0 [/tex]

  • [tex] \small x^2 + y^2 - 8x + 10y + 16 = 0 [/tex]

[tex] \therefore [/tex] x² + y² - 8x + 10y + 16 = 0 is the general form of the given equation of the circle.

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