SOLUTION: Hello, I need assistance with the following problem. Solve the following nonlinear system: {{{ x^2+y^2=13 }}} {{{ y=2x^2-5 }}} I'm stumped on this one. In advance, tha

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: Hello, I need assistance with the following problem. Solve the following nonlinear system: {{{ x^2+y^2=13 }}} {{{ y=2x^2-5 }}} I'm stumped on this one. In advance, tha      Log On

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Question 6844: Hello, I need assistance with the following problem.

Solve the following nonlinear system:
+x%5E2%2By%5E2=13+
+y=2x%5E2-5+

I'm stumped on this one. In advance, thank you for your assistance!
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
ok, multiply the first equation by 2.

Re-arrange second equation to say 2x^2 =. Sub this into the first equation, to give 2y%5E2+%2B+y+-+21+=+0 which can be factorised... you get 2 answers for y. Put both into one of the equations to find the equivalent x-values.

Jon.