Question

the line x + 2y = 9 intersects the curve xy + 18 = 0 at the points a and b. find the coordinates of a and b

Answer 1

Answer:

Cordinates are (33,-12) and (3,3)

Step-by-step explanation:

Solve the quadratic equation by replacing value of x in other i.e.

x = 9-2y from first equation

In xy+18 = 0, put value of x from above.

(9-2y)*y+18 = 0

9y - 2$y^{2}$ +18 = 0

(y+12)*(y-3) = 0

Y = -12 or 3

x = 33 or 3

Cordinates are (33,-12) and (3,3)