What is (a+3)/b =(a-3)/b+(b+3)/a ?

The solution to (a+3)/b =(a-3)/b+(b+3)/a is Parabola with (h,k)=(-3/8 ,-3/2),p= 3/2

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(a+3)/b =(a-3)/b+(b+3)/a

\frac{a + 3}{b} = \frac{a - 3}{b} + \frac{b + 3}{a}

(h, k) = (- \frac{3}{8}, - \frac{3}{2}), p = \frac{3}{2}

Solution steps

\frac{a + 3}{b} = \frac{a - 3}{b} + \frac{b + 3}{a}

Rewrite

\frac{a + 3}{b} - \frac{a - 3}{b} - \frac{b + 3}{a} = 0

in the standard form

4 \cdot \frac{3}{2} (a - (- \frac{3}{8})) = (b - (- \frac{3}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{3}{8}, - \frac{3}{2}), p = \frac{3}{2}

y^{2} = 11 x

x^{2} - 18 x + 16 y + 15 = 0

x > y^{2}

y - 5 = \frac{1}{3} (x + 2)^{2}

x = (y - 6)^{2}

What is (a+3)/b =(a-3)/b+(b+3)/a ?
The solution to (a+3)/b =(a-3)/b+(b+3)/a is Parabola with (h,k)=(-3/8 ,-3/2),p= 3/2