What is (x+y)(x-y)=60.49 ?

The solution to (x+y)(x-y)=60.49 is Hyperbola with (h,k)=(0,0),a=7.77753…,b=7.77753…

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(x+y)(x-y)=60.49

(x + y) (x - y) = 60.49

(h, k) = (0, 0), a = 7.77753 \dots, b = 7.77753 \dots

Solution steps

(x + y) (x - y) = 60.49

Rewrite

(x + y) (x - y) = 60.49

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{7.77753 \dots ^{2}} - \frac{( y - 0 ) ^{2}}{7.77753 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7.77753 \dots, b = 7.77753 \dots

9 x^{2} - 4 y^{2} = 144

9 x^{2} - 16 y^{2} - 54 x + 32 y - 79 = 0

\frac{( x - 6 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

\frac{x ^{2}}{33} - \frac{y ^{2}}{3} = 1

x^{2} - 4 x - y^{2} - 6 y - 2 = 0

What is (x+y)(x-y)=60.49 ?
The solution to (x+y)(x-y)=60.49 is Hyperbola with (h,k)=(0,0),a=7.77753…,b=7.77753…