equation of tangents

1. The problem statement, all variables and given/known data



Find the equations of the two tangents that can be drawn from

the point (5, 2) to the ellipse 2x² + 7y² = 14



2. Relevant equations



2x² + 7y² = 14

differentiating we get slope = -2x/7y



3. The attempt at a solution



y = slope(x)+c

y = -2x²/7y +c



when we plug in x and y we get c=39/7



so 5x+7y=39 is coming as answer



but it seems to be wrong.the questions says there has to be two tangents but how?:confused:



can someone please explain this?



x − y = 3 and x − 9y + 13 = 0.



puzzled i dont know how