How do I go about solving the following nonlinear system of equations? y = x - 2 x^2 = y^2 + 16 thanks!
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Originally Posted by Hapa How do I go about solving the following nonlinear system of equations? y = x - 2 x^2 = y^2 + 16 thanks! Substitute y = x - 2 into x^2 = y^2 + 16 and re-arrange into a quadratic equation. Solve for x. Then use x to get y.
I did attempt to substitute x - 2 for y, upon doing that i get x^2 = (x - 2)^2 + 16 x^2 = x^2 - 4x + 4 + 16 from here, don't the x^2 cancel out? not sure how to derive a quadratic equation from this.
Originally Posted by Hapa I did attempt to substitute x - 2 for y, upon doing that i get x^2 = (x - 2)^2 + 16 x^2 = x^2 - 4x + 4 + 16 from here, don't the x^2 cancel out? not sure how to derive a quadratic equation from this. Well, just solve the equation you end up with. In this case it's actually a linear.
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