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Write the equation in standard form. Then identify the center and radius. 13. x^(2)+y^(2)+8x-6y-25=0

Write the equation in standard form. Then identify the center and radius.\newline1313. x2+y2+8x−6y−25=0 x^{2}+y^{2}+8 x-6 y-25=0

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Q. Write the equation in standard form. Then identify the center and radius.\newline1313. x2+y2+8x−6y−25=0 x^{2}+y^{2}+8 x-6 y-25=0
  1. Rewrite Equation: Rewrite the given equation in a more recognizable form for completing the square: x2+8x+y2−6y=25x^2 + 8x + y^2 - 6y = 25
  2. Complete xx Square: Complete the square for the xx-terms: x2+8x=(x+4)2−16x^2 + 8x = (x + 4)^2 - 16
  3. Complete y Square: Complete the square for the y-terms: y2−6y=(y−3)2−9y^2 - 6y = (y - 3)^2 - 9
  4. Substitute Back: Substitute back into the equation: \newline(x+4)2−16+(y−3)2−9=25(x + 4)^2 - 16 + (y - 3)^2 - 9 = 25
  5. Simplify Equation: Simplify the equation: x + \(4)^22 + (y - 33)^22 - 2525 = 2525\

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