Question

What are the solutions to the nonlinear equations below y=4x x^2 + y^2=17

Answer 1

x = 1 and x = -1

Explanation:

Next time, please separate the equations with a comma or semicolon. Thanks.

We can substitute 4x for y in the quadratic equation x^2 + y^2=17:

x² + (4x)²=17.

Then x² + 16x² = 17, or

17x² = 17, or x² = 1. There are two solutions: x = 1 and x = -1.