Question

Solve the nonlinear system x^2=2y+10
3x-y=9

Answer 1

Point is (-4, 1) and (1,-4)

Explanation:

x2 + y2 = 17

x2 + (–x – 3)2 = 17

x2 + (–x – 3)(–x – 3) = 17

x2 + (x2 + 6x + 9) = 17

2x2 + 6x + 9 = 17

2x2 + 6x – 8 = 0

x2 + 3x – 4 = 0

(x + 4)(x – 1) = 0

x = –4, x = 1