Question

What are the solutions to the nonlinear system of equations below? Check all that apply.

y=4x
x^2 +y^2 = 17

A. (17,4)
B. (17,-4)
C. (-1,-4)
D. (1,4)
E. (-4,1)
F. (4,-1)

Answer 1

y = 4x
x² + y² = 17

x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
17x² = 17
17 17
x² = ±1

y = 4x
y = 4(-1)
y = -4
(x, y) = (-1, -4)

y = 4x
y = 4(1)
y = 4
(x, y) = (1, 4)

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.