Find the two horizontal and two vertical tangent lines of the equation x^2+xy+y^2=9.

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asked Nov 5, 2017 166k views

1 Answer

Yue Zhang · Answer 1 · 2017-11-09T14:06:32+0000

Differentiating w.r.t y,
We get,

2 x (d x/d y) + y (d x/d y) + x + 2 y = 0

Put
d x/d y = 0

The equation becomes:
x=2 y

substituting into main equation

We, get

3 y^2 =9

y= √3

x = ± 2√3

Find the two horizontal and two vertical tangent lines of the equation x^2+xy+y^2=9.

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