Change general form of hyperbola into standard: -x^2 + y^2 -16x + 14y - 251 = 0

Mathematics

1 answer:

topjm [15]4 years ago

7 0

Answer:

(y+7)²/364 - (x+8)²/364 = 1

Step-by-step explanation:

This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1

so, (y²+14y+?) - (x²+16x+?) = 251

(y²+14+49)-49 - (x²+16x+64)-64 = 251

(y+7)² - (x+8)² = 251 + 49 + 64

(y+7)² - (x+8)² = 364

(y+7)²/364 - (x+8)²/364 = 1

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