matt528 matt528
  • 10-05-2019
  • Mathematics
contestada

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

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altavistard
altavistard altavistard
  • 10-05-2019

Answer:

x = 1 and x = -1

Step-by-step 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.

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