What is 9(x-1)^2-16(y+2)^2=144 ?

The solution to 9(x-1)^2-16(y+2)^2=144 is Hyperbola with (h,k)=(1,-2),a=4,b=3

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9(x-1)^2-16(y+2)^2=144

9 (x - 1)^{2} - 16 (y + 2)^{2} = 144

(h, k) = (1, - 2), a = 4, b = 3

Solution steps

9 (x - 1)^{2} - 16 (y + 2)^{2} = 144

Rewrite

9 (x - 1)^{2} - 16 (y + 2)^{2} = 144

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{4 ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = 4, b = 3

9 x^{2} + 4 y^{2} + 36 x - 24 y + 36 = 0

f (x) = 3 x^{2} - 18 x + 23

x^{2} + y^{2} \leq 25

2 x^{2} + y^{2} = 2

(x - 3)^{2} + y^{2} = 4

What is 9(x-1)^2-16(y+2)^2=144 ?
The solution to 9(x-1)^2-16(y+2)^2=144 is Hyperbola with (h,k)=(1,-2),a=4,b=3