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Lesechka [4]
3 years ago
13

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

Mathematics
1 answer:
valina [46]3 years ago
3 0
Differentiating w.r.t y,
We get, 

<span>2 x (d x/d y) + y (d x/d y) + x + 2 y = 0 </span>

<span>Put 
d x/d y = 0 </span>

The equation becomes:
<span>x=2 y </span>

<span>substituting into main equation

We, get

3 y^2 =9 </span>

y= √3

x = <span>± 2√3</span>
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